5x+7(2x-13)=61

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Solution for 5x+7(2x-13)=61 equation:


Simplifying
5x + 7(2x + -13) = 61

Reorder the terms:
5x + 7(-13 + 2x) = 61
5x + (-13 * 7 + 2x * 7) = 61
5x + (-91 + 14x) = 61

Reorder the terms:
-91 + 5x + 14x = 61

Combine like terms: 5x + 14x = 19x
-91 + 19x = 61

Solving
-91 + 19x = 61

Solving for variable 'x'.

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

Add '91' to each side of the equation.
-91 + 91 + 19x = 61 + 91

Combine like terms: -91 + 91 = 0
0 + 19x = 61 + 91
19x = 61 + 91

Combine like terms: 61 + 91 = 152
19x = 152

Divide each side by '19'.
x = 8

Simplifying
x = 8

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