-3x-2(7+5x)=13-4(2x-4)

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Solution for -3x-2(7+5x)=13-4(2x-4) equation:


Simplifying
-3x + -2(7 + 5x) = 13 + -4(2x + -4)
-3x + (7 * -2 + 5x * -2) = 13 + -4(2x + -4)
-3x + (-14 + -10x) = 13 + -4(2x + -4)

Reorder the terms:
-14 + -3x + -10x = 13 + -4(2x + -4)

Combine like terms: -3x + -10x = -13x
-14 + -13x = 13 + -4(2x + -4)

Reorder the terms:
-14 + -13x = 13 + -4(-4 + 2x)
-14 + -13x = 13 + (-4 * -4 + 2x * -4)
-14 + -13x = 13 + (16 + -8x)

Combine like terms: 13 + 16 = 29
-14 + -13x = 29 + -8x

Solving
-14 + -13x = 29 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-14 + -13x + 8x = 29 + -8x + 8x

Combine like terms: -13x + 8x = -5x
-14 + -5x = 29 + -8x + 8x

Combine like terms: -8x + 8x = 0
-14 + -5x = 29 + 0
-14 + -5x = 29

Add '14' to each side of the equation.
-14 + 14 + -5x = 29 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 29 + 14
-5x = 29 + 14

Combine like terms: 29 + 14 = 43
-5x = 43

Divide each side by '-5'.
x = -8.6

Simplifying
x = -8.6

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