-4(x-5)+4(-2x-2)=-13(x-1)+10

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Solution for -4(x-5)+4(-2x-2)=-13(x-1)+10 equation:


Simplifying
-4(x + -5) + 4(-2x + -2) = -13(x + -1) + 10

Reorder the terms:
-4(-5 + x) + 4(-2x + -2) = -13(x + -1) + 10
(-5 * -4 + x * -4) + 4(-2x + -2) = -13(x + -1) + 10
(20 + -4x) + 4(-2x + -2) = -13(x + -1) + 10

Reorder the terms:
20 + -4x + 4(-2 + -2x) = -13(x + -1) + 10
20 + -4x + (-2 * 4 + -2x * 4) = -13(x + -1) + 10
20 + -4x + (-8 + -8x) = -13(x + -1) + 10

Reorder the terms:
20 + -8 + -4x + -8x = -13(x + -1) + 10

Combine like terms: 20 + -8 = 12
12 + -4x + -8x = -13(x + -1) + 10

Combine like terms: -4x + -8x = -12x
12 + -12x = -13(x + -1) + 10

Reorder the terms:
12 + -12x = -13(-1 + x) + 10
12 + -12x = (-1 * -13 + x * -13) + 10
12 + -12x = (13 + -13x) + 10

Reorder the terms:
12 + -12x = 13 + 10 + -13x

Combine like terms: 13 + 10 = 23
12 + -12x = 23 + -13x

Solving
12 + -12x = 23 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
12 + -12x + 13x = 23 + -13x + 13x

Combine like terms: -12x + 13x = 1x
12 + 1x = 23 + -13x + 13x

Combine like terms: -13x + 13x = 0
12 + 1x = 23 + 0
12 + 1x = 23

Add '-12' to each side of the equation.
12 + -12 + 1x = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 23 + -12
1x = 23 + -12

Combine like terms: 23 + -12 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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