7(4x-2)-5x=101

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Solution for 7(4x-2)-5x=101 equation: 


Simplifying
7(4x + -2) + -5x = 101

Reorder the terms:
7(-2 + 4x) + -5x = 101
(-2 * 7 + 4x * 7) + -5x = 101
(-14 + 28x) + -5x = 101

Combine like terms: 28x + -5x = 23x
-14 + 23x = 101

Solving
-14 + 23x = 101

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 23x = 101 + 14

Combine like terms: -14 + 14 = 0
0 + 23x = 101 + 14
23x = 101 + 14

Combine like terms: 101 + 14 = 115
23x = 115

Divide each side by '23'.
x = 5

Simplifying
x = 5

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