5-3(x+2)=2x+7-13

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Solution for 5-3(x+2)=2x+7-13 equation:


Simplifying
5 + -3(x + 2) = 2x + 7 + -13

Reorder the terms:
5 + -3(2 + x) = 2x + 7 + -13
5 + (2 * -3 + x * -3) = 2x + 7 + -13
5 + (-6 + -3x) = 2x + 7 + -13

Combine like terms: 5 + -6 = -1
-1 + -3x = 2x + 7 + -13

Reorder the terms:
-1 + -3x = 7 + -13 + 2x

Combine like terms: 7 + -13 = -6
-1 + -3x = -6 + 2x

Solving
-1 + -3x = -6 + 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 = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + -5x = -6 + 0
-1 + -5x = -6

Add '1' to each side of the equation.
-1 + 1 + -5x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -6 + 1
-5x = -6 + 1

Combine like terms: -6 + 1 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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