-5(x+5)-6(x-2)=x+3+8-4x

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Solution for -5(x+5)-6(x-2)=x+3+8-4x equation:


Simplifying
-5(x + 5) + -6(x + -2) = x + 3 + 8 + -4x

Reorder the terms:
-5(5 + x) + -6(x + -2) = x + 3 + 8 + -4x
(5 * -5 + x * -5) + -6(x + -2) = x + 3 + 8 + -4x
(-25 + -5x) + -6(x + -2) = x + 3 + 8 + -4x

Reorder the terms:
-25 + -5x + -6(-2 + x) = x + 3 + 8 + -4x
-25 + -5x + (-2 * -6 + x * -6) = x + 3 + 8 + -4x
-25 + -5x + (12 + -6x) = x + 3 + 8 + -4x

Reorder the terms:
-25 + 12 + -5x + -6x = x + 3 + 8 + -4x

Combine like terms: -25 + 12 = -13
-13 + -5x + -6x = x + 3 + 8 + -4x

Combine like terms: -5x + -6x = -11x
-13 + -11x = x + 3 + 8 + -4x

Reorder the terms:
-13 + -11x = 3 + 8 + x + -4x

Combine like terms: 3 + 8 = 11
-13 + -11x = 11 + x + -4x

Combine like terms: x + -4x = -3x
-13 + -11x = 11 + -3x

Solving
-13 + -11x = 11 + -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.
-13 + -11x + 3x = 11 + -3x + 3x

Combine like terms: -11x + 3x = -8x
-13 + -8x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + -8x = 11 + 0
-13 + -8x = 11

Add '13' to each side of the equation.
-13 + 13 + -8x = 11 + 13

Combine like terms: -13 + 13 = 0
0 + -8x = 11 + 13
-8x = 11 + 13

Combine like terms: 11 + 13 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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