5(3x-7)-2=5(x-4)+33

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Solution for 5(3x-7)-2=5(x-4)+33 equation:


Simplifying
5(3x + -7) + -2 = 5(x + -4) + 33

Reorder the terms:
5(-7 + 3x) + -2 = 5(x + -4) + 33
(-7 * 5 + 3x * 5) + -2 = 5(x + -4) + 33
(-35 + 15x) + -2 = 5(x + -4) + 33

Reorder the terms:
-35 + -2 + 15x = 5(x + -4) + 33

Combine like terms: -35 + -2 = -37
-37 + 15x = 5(x + -4) + 33

Reorder the terms:
-37 + 15x = 5(-4 + x) + 33
-37 + 15x = (-4 * 5 + x * 5) + 33
-37 + 15x = (-20 + 5x) + 33

Reorder the terms:
-37 + 15x = -20 + 33 + 5x

Combine like terms: -20 + 33 = 13
-37 + 15x = 13 + 5x

Solving
-37 + 15x = 13 + 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.
-37 + 15x + -5x = 13 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-37 + 10x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 10x = 13 + 0
-37 + 10x = 13

Add '37' to each side of the equation.
-37 + 37 + 10x = 13 + 37

Combine like terms: -37 + 37 = 0
0 + 10x = 13 + 37
10x = 13 + 37

Combine like terms: 13 + 37 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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