7(x-5)+2x-2=26

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Solution for 7(x-5)+2x-2=26 equation:


Simplifying
7(x + -5) + 2x + -2 = 26

Reorder the terms:
7(-5 + x) + 2x + -2 = 26
(-5 * 7 + x * 7) + 2x + -2 = 26
(-35 + 7x) + 2x + -2 = 26

Reorder the terms:
-35 + -2 + 7x + 2x = 26

Combine like terms: -35 + -2 = -37
-37 + 7x + 2x = 26

Combine like terms: 7x + 2x = 9x
-37 + 9x = 26

Solving
-37 + 9x = 26

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 9x = 26 + 37

Combine like terms: -37 + 37 = 0
0 + 9x = 26 + 37
9x = 26 + 37

Combine like terms: 26 + 37 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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