-2(4x-7)=3x-8

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Solution for -2(4x-7)=3x-8 equation:


Simplifying
-2(4x + -7) = 3x + -8

Reorder the terms:
-2(-7 + 4x) = 3x + -8
(-7 * -2 + 4x * -2) = 3x + -8
(14 + -8x) = 3x + -8

Reorder the terms:
14 + -8x = -8 + 3x

Solving
14 + -8x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -8x + -3x = -8 + 3x + -3x

Combine like terms: -8x + -3x = -11x
14 + -11x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -11x = -8 + 0
14 + -11x = -8

Add '-14' to each side of the equation.
14 + -14 + -11x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -11x = -8 + -14
-11x = -8 + -14

Combine like terms: -8 + -14 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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