8x-37=-3(-3-8x)+7x

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Solution for 8x-37=-3(-3-8x)+7x equation:


Simplifying
8x + -37 = -3(-3 + -8x) + 7x

Reorder the terms:
-37 + 8x = -3(-3 + -8x) + 7x
-37 + 8x = (-3 * -3 + -8x * -3) + 7x
-37 + 8x = (9 + 24x) + 7x

Combine like terms: 24x + 7x = 31x
-37 + 8x = 9 + 31x

Solving
-37 + 8x = 9 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
-37 + 8x + -31x = 9 + 31x + -31x

Combine like terms: 8x + -31x = -23x
-37 + -23x = 9 + 31x + -31x

Combine like terms: 31x + -31x = 0
-37 + -23x = 9 + 0
-37 + -23x = 9

Add '37' to each side of the equation.
-37 + 37 + -23x = 9 + 37

Combine like terms: -37 + 37 = 0
0 + -23x = 9 + 37
-23x = 9 + 37

Combine like terms: 9 + 37 = 46
-23x = 46

Divide each side by '-23'.
x = -2

Simplifying
x = -2

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