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

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


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

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

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

Combine like terms: -35 + -7 = -42
-42 + 15x = 5(x + -3) + 33

Reorder the terms:
-42 + 15x = 5(-3 + x) + 33
-42 + 15x = (-3 * 5 + x * 5) + 33
-42 + 15x = (-15 + 5x) + 33

Reorder the terms:
-42 + 15x = -15 + 33 + 5x

Combine like terms: -15 + 33 = 18
-42 + 15x = 18 + 5x

Solving
-42 + 15x = 18 + 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.
-42 + 15x + -5x = 18 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-42 + 10x = 18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-42 + 10x = 18 + 0
-42 + 10x = 18

Add '42' to each side of the equation.
-42 + 42 + 10x = 18 + 42

Combine like terms: -42 + 42 = 0
0 + 10x = 18 + 42
10x = 18 + 42

Combine like terms: 18 + 42 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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