9-3(4x-7)=5x+37

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Solution for 9-3(4x-7)=5x+37 equation: 


Simplifying
9 + -3(4x + -7) = 5x + 37

Reorder the terms:
9 + -3(-7 + 4x) = 5x + 37
9 + (-7 * -3 + 4x * -3) = 5x + 37
9 + (21 + -12x) = 5x + 37

Combine like terms: 9 + 21 = 30
30 + -12x = 5x + 37

Reorder the terms:
30 + -12x = 37 + 5x

Solving
30 + -12x = 37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + -12x + -5x = 37 + 5x + -5x

Combine like terms: -12x + -5x = -17x
30 + -17x = 37 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -17x = 37 + 0
30 + -17x = 37

Add '-30' to each side of the equation.
30 + -30 + -17x = 37 + -30

Combine like terms: 30 + -30 = 0
0 + -17x = 37 + -30
-17x = 37 + -30

Combine like terms: 37 + -30 = 7
-17x = 7

Divide each side by '-17'.
x = -0.4117647059

Simplifying
x = -0.4117647059

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