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

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


Simplifying
5x + -1(2x + 3) = 5x + -13

Reorder the terms:
5x + -1(3 + 2x) = 5x + -13
5x + (3 * -1 + 2x * -1) = 5x + -13
5x + (-3 + -2x) = 5x + -13

Reorder the terms:
-3 + 5x + -2x = 5x + -13

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

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

Solving
-3 + 3x = -13 + 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.
-3 + 3x + -5x = -13 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-3 + -2x = -13 + 0
-3 + -2x = -13

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

Combine like terms: -3 + 3 = 0
0 + -2x = -13 + 3
-2x = -13 + 3

Combine like terms: -13 + 3 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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