13(x+14)=13(26-11x)

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Solution for 13(x+14)=13(26-11x) equation: 


Simplifying
13(x + 14) = 13(26 + -11x)

Reorder the terms:
13(14 + x) = 13(26 + -11x)
(14 * 13 + x * 13) = 13(26 + -11x)
(182 + 13x) = 13(26 + -11x)
182 + 13x = (26 * 13 + -11x * 13)
182 + 13x = (338 + -143x)

Solving
182 + 13x = 338 + -143x

Solving for variable 'x'.

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

Add '143x' to each side of the equation.
182 + 13x + 143x = 338 + -143x + 143x

Combine like terms: 13x + 143x = 156x
182 + 156x = 338 + -143x + 143x

Combine like terms: -143x + 143x = 0
182 + 156x = 338 + 0
182 + 156x = 338

Add '-182' to each side of the equation.
182 + -182 + 156x = 338 + -182

Combine like terms: 182 + -182 = 0
0 + 156x = 338 + -182
156x = 338 + -182

Combine like terms: 338 + -182 = 156
156x = 156

Divide each side by '156'.
x = 1

Simplifying
x = 1

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