-7(x-3)=5(-6+2x)

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Solution for -7(x-3)=5(-6+2x) equation:


Simplifying
-7(x + -3) = 5(-6 + 2x)

Reorder the terms:
-7(-3 + x) = 5(-6 + 2x)
(-3 * -7 + x * -7) = 5(-6 + 2x)
(21 + -7x) = 5(-6 + 2x)
21 + -7x = (-6 * 5 + 2x * 5)
21 + -7x = (-30 + 10x)

Solving
21 + -7x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + -7x + -10x = -30 + 10x + -10x

Combine like terms: -7x + -10x = -17x
21 + -17x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -17x = -30 + 0
21 + -17x = -30

Add '-21' to each side of the equation.
21 + -21 + -17x = -30 + -21

Combine like terms: 21 + -21 = 0
0 + -17x = -30 + -21
-17x = -30 + -21

Combine like terms: -30 + -21 = -51
-17x = -51

Divide each side by '-17'.
x = 3

Simplifying
x = 3

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