3(5-3x)=4x-37

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


Simplifying
3(5 + -3x) = 4x + -37
(5 * 3 + -3x * 3) = 4x + -37
(15 + -9x) = 4x + -37

Reorder the terms:
15 + -9x = -37 + 4x

Solving
15 + -9x = -37 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -9x + -4x = -37 + 4x + -4x

Combine like terms: -9x + -4x = -13x
15 + -13x = -37 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -13x = -37 + 0
15 + -13x = -37

Add '-15' to each side of the equation.
15 + -15 + -13x = -37 + -15

Combine like terms: 15 + -15 = 0
0 + -13x = -37 + -15
-13x = -37 + -15

Combine like terms: -37 + -15 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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