5(3x-7)-6=5(x-3)+44

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Solution for 5(3x-7)-6=5(x-3)+44 equation:


Simplifying
5(3x + -7) + -6 = 5(x + -3) + 44

Reorder the terms:
5(-7 + 3x) + -6 = 5(x + -3) + 44
(-7 * 5 + 3x * 5) + -6 = 5(x + -3) + 44
(-35 + 15x) + -6 = 5(x + -3) + 44

Reorder the terms:
-35 + -6 + 15x = 5(x + -3) + 44

Combine like terms: -35 + -6 = -41
-41 + 15x = 5(x + -3) + 44

Reorder the terms:
-41 + 15x = 5(-3 + x) + 44
-41 + 15x = (-3 * 5 + x * 5) + 44
-41 + 15x = (-15 + 5x) + 44

Reorder the terms:
-41 + 15x = -15 + 44 + 5x

Combine like terms: -15 + 44 = 29
-41 + 15x = 29 + 5x

Solving
-41 + 15x = 29 + 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.
-41 + 15x + -5x = 29 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-41 + 10x = 29 + 5x + -5x

Combine like terms: 5x + -5x = 0
-41 + 10x = 29 + 0
-41 + 10x = 29

Add '41' to each side of the equation.
-41 + 41 + 10x = 29 + 41

Combine like terms: -41 + 41 = 0
0 + 10x = 29 + 41
10x = 29 + 41

Combine like terms: 29 + 41 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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