4x-2(x-4)=-7+5x-3

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Solution for 4x-2(x-4)=-7+5x-3 equation:


Simplifying
4x + -2(x + -4) = -7 + 5x + -3

Reorder the terms:
4x + -2(-4 + x) = -7 + 5x + -3
4x + (-4 * -2 + x * -2) = -7 + 5x + -3
4x + (8 + -2x) = -7 + 5x + -3

Reorder the terms:
8 + 4x + -2x = -7 + 5x + -3

Combine like terms: 4x + -2x = 2x
8 + 2x = -7 + 5x + -3

Reorder the terms:
8 + 2x = -7 + -3 + 5x

Combine like terms: -7 + -3 = -10
8 + 2x = -10 + 5x

Solving
8 + 2x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 2x + -5x = -10 + 5x + -5x

Combine like terms: 2x + -5x = -3x
8 + -3x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -3x = -10 + 0
8 + -3x = -10

Add '-8' to each side of the equation.
8 + -8 + -3x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -10 + -8
-3x = -10 + -8

Combine like terms: -10 + -8 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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