4(3x-2)=-2x+7

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Solution for 4(3x-2)=-2x+7 equation:


Simplifying
4(3x + -2) = -2x + 7

Reorder the terms:
4(-2 + 3x) = -2x + 7
(-2 * 4 + 3x * 4) = -2x + 7
(-8 + 12x) = -2x + 7

Reorder the terms:
-8 + 12x = 7 + -2x

Solving
-8 + 12x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-8 + 12x + 2x = 7 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-8 + 14x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 14x = 7 + 0
-8 + 14x = 7

Add '8' to each side of the equation.
-8 + 8 + 14x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 14x = 7 + 8
14x = 7 + 8

Combine like terms: 7 + 8 = 15
14x = 15

Divide each side by '14'.
x = 1.071428571

Simplifying
x = 1.071428571

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