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

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


Simplifying
4x + 3(x + -2) = -5(x + -4) + -1x

Reorder the terms:
4x + 3(-2 + x) = -5(x + -4) + -1x
4x + (-2 * 3 + x * 3) = -5(x + -4) + -1x
4x + (-6 + 3x) = -5(x + -4) + -1x

Reorder the terms:
-6 + 4x + 3x = -5(x + -4) + -1x

Combine like terms: 4x + 3x = 7x
-6 + 7x = -5(x + -4) + -1x

Reorder the terms:
-6 + 7x = -5(-4 + x) + -1x
-6 + 7x = (-4 * -5 + x * -5) + -1x
-6 + 7x = (20 + -5x) + -1x

Combine like terms: -5x + -1x = -6x
-6 + 7x = 20 + -6x

Solving
-6 + 7x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 7x + 6x = 20 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-6 + 13x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 13x = 20 + 0
-6 + 13x = 20

Add '6' to each side of the equation.
-6 + 6 + 13x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 20 + 6
13x = 20 + 6

Combine like terms: 20 + 6 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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