11(x+13)=-2(x-4)+5

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Solution for 11(x+13)=-2(x-4)+5 equation: 


Simplifying
11(x + 13) = -2(x + -4) + 5

Reorder the terms:
11(13 + x) = -2(x + -4) + 5
(13 * 11 + x * 11) = -2(x + -4) + 5
(143 + 11x) = -2(x + -4) + 5

Reorder the terms:
143 + 11x = -2(-4 + x) + 5
143 + 11x = (-4 * -2 + x * -2) + 5
143 + 11x = (8 + -2x) + 5

Reorder the terms:
143 + 11x = 8 + 5 + -2x

Combine like terms: 8 + 5 = 13
143 + 11x = 13 + -2x

Solving
143 + 11x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
143 + 11x + 2x = 13 + -2x + 2x

Combine like terms: 11x + 2x = 13x
143 + 13x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
143 + 13x = 13 + 0
143 + 13x = 13

Add '-143' to each side of the equation.
143 + -143 + 13x = 13 + -143

Combine like terms: 143 + -143 = 0
0 + 13x = 13 + -143
13x = 13 + -143

Combine like terms: 13 + -143 = -130
13x = -130

Divide each side by '13'.
x = -10

Simplifying
x = -10

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