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

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


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

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

Solving
14 + -8x = 4 + -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 = 4 + -3x + 3x

Combine like terms: -8x + 3x = -5x
14 + -5x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + -5x = 4 + 0
14 + -5x = 4

Add '-14' to each side of the equation.
14 + -14 + -5x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 4 + -14
-5x = 4 + -14

Combine like terms: 4 + -14 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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