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

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


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

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

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

Solving
-35 + 7x = -26 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-35 + 7x + 2x = -26 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-35 + 9x = -26 + -2x + 2x

Combine like terms: -2x + 2x = 0
-35 + 9x = -26 + 0
-35 + 9x = -26

Add '35' to each side of the equation.
-35 + 35 + 9x = -26 + 35

Combine like terms: -35 + 35 = 0
0 + 9x = -26 + 35
9x = -26 + 35

Combine like terms: -26 + 35 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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