4x-13+2(x+3)=20-3x

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Solution for 4x-13+2(x+3)=20-3x equation:


Simplifying
4x + -13 + 2(x + 3) = 20 + -3x

Reorder the terms:
4x + -13 + 2(3 + x) = 20 + -3x
4x + -13 + (3 * 2 + x * 2) = 20 + -3x
4x + -13 + (6 + 2x) = 20 + -3x

Reorder the terms:
-13 + 6 + 4x + 2x = 20 + -3x

Combine like terms: -13 + 6 = -7
-7 + 4x + 2x = 20 + -3x

Combine like terms: 4x + 2x = 6x
-7 + 6x = 20 + -3x

Solving
-7 + 6x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 6x + 3x = 20 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-7 + 9x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 9x = 20 + 0
-7 + 9x = 20

Add '7' to each side of the equation.
-7 + 7 + 9x = 20 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 20 + 7
9x = 20 + 7

Combine like terms: 20 + 7 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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