5x-3(x+5)+2(2x-2)=13

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Solution for 5x-3(x+5)+2(2x-2)=13 equation:


Simplifying
5x + -3(x + 5) + 2(2x + -2) = 13

Reorder the terms:
5x + -3(5 + x) + 2(2x + -2) = 13
5x + (5 * -3 + x * -3) + 2(2x + -2) = 13
5x + (-15 + -3x) + 2(2x + -2) = 13

Reorder the terms:
5x + -15 + -3x + 2(-2 + 2x) = 13
5x + -15 + -3x + (-2 * 2 + 2x * 2) = 13
5x + -15 + -3x + (-4 + 4x) = 13

Reorder the terms:
-15 + -4 + 5x + -3x + 4x = 13

Combine like terms: -15 + -4 = -19
-19 + 5x + -3x + 4x = 13

Combine like terms: 5x + -3x = 2x
-19 + 2x + 4x = 13

Combine like terms: 2x + 4x = 6x
-19 + 6x = 13

Solving
-19 + 6x = 13

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 6x = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 6x = 13 + 19
6x = 13 + 19

Combine like terms: 13 + 19 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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