-5(3x-11)=2(x-5)-37

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Solution for -5(3x-11)=2(x-5)-37 equation:


Simplifying
-5(3x + -11) = 2(x + -5) + -37

Reorder the terms:
-5(-11 + 3x) = 2(x + -5) + -37
(-11 * -5 + 3x * -5) = 2(x + -5) + -37
(55 + -15x) = 2(x + -5) + -37

Reorder the terms:
55 + -15x = 2(-5 + x) + -37
55 + -15x = (-5 * 2 + x * 2) + -37
55 + -15x = (-10 + 2x) + -37

Reorder the terms:
55 + -15x = -10 + -37 + 2x

Combine like terms: -10 + -37 = -47
55 + -15x = -47 + 2x

Solving
55 + -15x = -47 + 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.
55 + -15x + -2x = -47 + 2x + -2x

Combine like terms: -15x + -2x = -17x
55 + -17x = -47 + 2x + -2x

Combine like terms: 2x + -2x = 0
55 + -17x = -47 + 0
55 + -17x = -47

Add '-55' to each side of the equation.
55 + -55 + -17x = -47 + -55

Combine like terms: 55 + -55 = 0
0 + -17x = -47 + -55
-17x = -47 + -55

Combine like terms: -47 + -55 = -102
-17x = -102

Divide each side by '-17'.
x = 6

Simplifying
x = 6

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