37=5(3x-4)-3

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


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

Reorder the terms:
37 = 5(-4 + 3x) + -3
37 = (-4 * 5 + 3x * 5) + -3
37 = (-20 + 15x) + -3

Reorder the terms:
37 = -20 + -3 + 15x

Combine like terms: -20 + -3 = -23
37 = -23 + 15x

Solving
37 = -23 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
37 + -15x = -23 + 15x + -15x

Combine like terms: 15x + -15x = 0
37 + -15x = -23 + 0
37 + -15x = -23

Add '-37' to each side of the equation.
37 + -37 + -15x = -23 + -37

Combine like terms: 37 + -37 = 0
0 + -15x = -23 + -37
-15x = -23 + -37

Combine like terms: -23 + -37 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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