3x+7(5x-13)=175

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Solution for 3x+7(5x-13)=175 equation:


Simplifying
3x + 7(5x + -13) = 175

Reorder the terms:
3x + 7(-13 + 5x) = 175
3x + (-13 * 7 + 5x * 7) = 175
3x + (-91 + 35x) = 175

Reorder the terms:
-91 + 3x + 35x = 175

Combine like terms: 3x + 35x = 38x
-91 + 38x = 175

Solving
-91 + 38x = 175

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 + 38x = 175 + 91

Combine like terms: -91 + 91 = 0
0 + 38x = 175 + 91
38x = 175 + 91

Combine like terms: 175 + 91 = 266
38x = 266

Divide each side by '38'.
x = 7

Simplifying
x = 7

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