-7=5(x-3)-7x

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


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

Reorder the terms:
-7 = 5(-3 + x) + -7x
-7 = (-3 * 5 + x * 5) + -7x
-7 = (-15 + 5x) + -7x

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

Solving
-7 = -15 + -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.
-7 + 2x = -15 + -2x + 2x

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

Add '7' to each side of the equation.
-7 + 7 + 2x = -15 + 7

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

Combine like terms: -15 + 7 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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