7(x-2)-2(x-7)=15

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Solution for 7(x-2)-2(x-7)=15 equation: 


Simplifying
7(x + -2) + -2(x + -7) = 15

Reorder the terms:
7(-2 + x) + -2(x + -7) = 15
(-2 * 7 + x * 7) + -2(x + -7) = 15
(-14 + 7x) + -2(x + -7) = 15

Reorder the terms:
-14 + 7x + -2(-7 + x) = 15
-14 + 7x + (-7 * -2 + x * -2) = 15
-14 + 7x + (14 + -2x) = 15

Reorder the terms:
-14 + 14 + 7x + -2x = 15

Combine like terms: -14 + 14 = 0
0 + 7x + -2x = 15
7x + -2x = 15

Combine like terms: 7x + -2x = 5x
5x = 15

Solving
5x = 15

Solving for variable 'x'.

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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