5(x-3)+64=-2x

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Solution for 5(x-3)+64=-2x equation:


Simplifying
5(x + -3) + 64 = -2x

Reorder the terms:
5(-3 + x) + 64 = -2x
(-3 * 5 + x * 5) + 64 = -2x
(-15 + 5x) + 64 = -2x

Reorder the terms:
-15 + 64 + 5x = -2x

Combine like terms: -15 + 64 = 49
49 + 5x = -2x

Solving
49 + 5x = -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.
49 + 5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
49 + 7x = -2x + 2x

Combine like terms: -2x + 2x = 0
49 + 7x = 0

Add '-49' to each side of the equation.
49 + -49 + 7x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 7x = 0 + -49
7x = 0 + -49

Combine like terms: 0 + -49 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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