8(x+7)=13x+11

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Solution for 8(x+7)=13x+11 equation:


Simplifying
8(x + 7) = 13x + 11

Reorder the terms:
8(7 + x) = 13x + 11
(7 * 8 + x * 8) = 13x + 11
(56 + 8x) = 13x + 11

Reorder the terms:
56 + 8x = 11 + 13x

Solving
56 + 8x = 11 + 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.
56 + 8x + -13x = 11 + 13x + -13x

Combine like terms: 8x + -13x = -5x
56 + -5x = 11 + 13x + -13x

Combine like terms: 13x + -13x = 0
56 + -5x = 11 + 0
56 + -5x = 11

Add '-56' to each side of the equation.
56 + -56 + -5x = 11 + -56

Combine like terms: 56 + -56 = 0
0 + -5x = 11 + -56
-5x = 11 + -56

Combine like terms: 11 + -56 = -45
-5x = -45

Divide each side by '-5'.
x = 9

Simplifying
x = 9

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