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

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


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

Reorder the terms:
5 + 3(-2 + x) = 2x + -13
5 + (-2 * 3 + x * 3) = 2x + -13
5 + (-6 + 3x) = 2x + -13

Combine like terms: 5 + -6 = -1
-1 + 3x = 2x + -13

Reorder the terms:
-1 + 3x = -13 + 2x

Solving
-1 + 3x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 3x + -2x = -13 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 1x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 1x = -13 + 0
-1 + 1x = -13

Add '1' to each side of the equation.
-1 + 1 + 1x = -13 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -13 + 1
1x = -13 + 1

Combine like terms: -13 + 1 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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