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Since -3 was added to x to get -2, we need to add the opposite of -3 to both sides to inverse it to isolate for x. x = 1 x - 3 = -2 +3 +3 Since x was divided by 2 to equal 6, we need to multiply both sides by 2. 2• 1 x = 12 = 6 2 x •2 Since 5 was added to x to get -7, we need to add the opposite of 5 to both sides to inverse it. 5 + -5 equals 0 so x is by itself. x = -12 x + 5 = -7 -5 -5 Add the opposite of 8 to both sides to isolate the variable x. Follow all integer rules. x + 8 = 2 - 8 -8 x = Since 4 was multiplied by x to equal 12, we need to divide both sides by 4. 4x = 12 x = 3 4 4 Add the opposite of -2 to both sides to isolate the variable x. Follow all integer rules. x - 2 = -5 + 2 +2 x = Since 4 was multiplied by x to equal 12, we need to divide both sides by 4. x = 3 4x = 12 4 4 Clean up first. Add the opposite of 2 to both sides to isolate the variable x. Follow all integer rules. x - (-2) = -5 x + 2 = -5 -2 -2 x = This is multiplication. Division is inverse. Divide both sides by 3 to isolate the variable x. 3x = 6 3x = 6 3 x = 3 This is division. Multiplication is inverse. Multiply both sides by 5 to isolate the variable. = 10 5• 1 x = x 5 •5 Addition and subtract are inverse. x - 9 = -5
x = + + -3x = 6 -3x = 6 x = Division and multiplication inverse each other. -2• = 16 -2 x x = •-2 Inverse what is with the variable. x + 6 = -9
x = x - (-9) = -5 x = x + 9 = -5 Clean up first. x - 3 = -8
x = + + x + 3 = 1
x = -4• = -8 -4 x x = •-4 -4x = -8 x = -0.2x = 6 x = = -1.6 • -4 x x = • x + 3.2 = 1
x = x - 3.7 = -8 x = + + x - (-3) = -2
x = x + = Clean up the signs! = .3 • -4 x x = • Multiply both sides by the reciprocal to reverse the multiplication by a fraction. 3 2 • 2 3 x x = = 12 6 • 2 3 1 Multiply both sides by the reciprocal to reverse the multiplication by a fraction. • 3 4 x x = = 6 • Multiply both sides by the reciprocal to reverse the multiplication by a fraction. • 2 5 x x = = 1 5 2 • Mixed to improper. Multiply both sides by the reciprocal to reverse the multiplication by a fraction. • 1 x = 2 5 x x = = 3 4 7 • x - 1.2 = -6
x = + + -3x = 6 x = 3 • x 3 x = = -4 • 3 -5 • -5 x x = = -4 • -5 |