5(3x-4)-3=5(x-2)+37

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Solution for 5(3x-4)-3=5(x-2)+37 equation:


Simplifying
5(3x + -4) + -3 = 5(x + -2) + 37

Reorder the terms:
5(-4 + 3x) + -3 = 5(x + -2) + 37
(-4 * 5 + 3x * 5) + -3 = 5(x + -2) + 37
(-20 + 15x) + -3 = 5(x + -2) + 37

Reorder the terms:
-20 + -3 + 15x = 5(x + -2) + 37

Combine like terms: -20 + -3 = -23
-23 + 15x = 5(x + -2) + 37

Reorder the terms:
-23 + 15x = 5(-2 + x) + 37
-23 + 15x = (-2 * 5 + x * 5) + 37
-23 + 15x = (-10 + 5x) + 37

Reorder the terms:
-23 + 15x = -10 + 37 + 5x

Combine like terms: -10 + 37 = 27
-23 + 15x = 27 + 5x

Solving
-23 + 15x = 27 + 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.
-23 + 15x + -5x = 27 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-23 + 10x = 27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-23 + 10x = 27 + 0
-23 + 10x = 27

Add '23' to each side of the equation.
-23 + 23 + 10x = 27 + 23

Combine like terms: -23 + 23 = 0
0 + 10x = 27 + 23
10x = 27 + 23

Combine like terms: 27 + 23 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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