-5(3x-9)=2(x-37)-5

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Solution for -5(3x-9)=2(x-37)-5 equation:


Simplifying
-5(3x + -9) = 2(x + -37) + -5

Reorder the terms:
-5(-9 + 3x) = 2(x + -37) + -5
(-9 * -5 + 3x * -5) = 2(x + -37) + -5
(45 + -15x) = 2(x + -37) + -5

Reorder the terms:
45 + -15x = 2(-37 + x) + -5
45 + -15x = (-37 * 2 + x * 2) + -5
45 + -15x = (-74 + 2x) + -5

Reorder the terms:
45 + -15x = -74 + -5 + 2x

Combine like terms: -74 + -5 = -79
45 + -15x = -79 + 2x

Solving
45 + -15x = -79 + 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.
45 + -15x + -2x = -79 + 2x + -2x

Combine like terms: -15x + -2x = -17x
45 + -17x = -79 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -17x = -79 + 0
45 + -17x = -79

Add '-45' to each side of the equation.
45 + -45 + -17x = -79 + -45

Combine like terms: 45 + -45 = 0
0 + -17x = -79 + -45
-17x = -79 + -45

Combine like terms: -79 + -45 = -124
-17x = -124

Divide each side by '-17'.
x = 7.294117647

Simplifying
x = 7.294117647

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