15(x+3)+20(2x-2)=170

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Solution for 15(x+3)+20(2x-2)=170 equation: 


Simplifying
15(x + 3) + 20(2x + -2) = 170

Reorder the terms:
15(3 + x) + 20(2x + -2) = 170
(3 * 15 + x * 15) + 20(2x + -2) = 170
(45 + 15x) + 20(2x + -2) = 170

Reorder the terms:
45 + 15x + 20(-2 + 2x) = 170
45 + 15x + (-2 * 20 + 2x * 20) = 170
45 + 15x + (-40 + 40x) = 170

Reorder the terms:
45 + -40 + 15x + 40x = 170

Combine like terms: 45 + -40 = 5
5 + 15x + 40x = 170

Combine like terms: 15x + 40x = 55x
5 + 55x = 170

Solving
5 + 55x = 170

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 55x = 170 + -5

Combine like terms: 5 + -5 = 0
0 + 55x = 170 + -5
55x = 170 + -5

Combine like terms: 170 + -5 = 165
55x = 165

Divide each side by '55'.
x = 3

Simplifying
x = 3

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