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

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


Simplifying
13x + 3(3 + -1x) = 3(4 + 3x) + -2x
13x + (3 * 3 + -1x * 3) = 3(4 + 3x) + -2x
13x + (9 + -3x) = 3(4 + 3x) + -2x

Reorder the terms:
9 + 13x + -3x = 3(4 + 3x) + -2x

Combine like terms: 13x + -3x = 10x
9 + 10x = 3(4 + 3x) + -2x
9 + 10x = (4 * 3 + 3x * 3) + -2x
9 + 10x = (12 + 9x) + -2x

Combine like terms: 9x + -2x = 7x
9 + 10x = 12 + 7x

Solving
9 + 10x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + 10x + -7x = 12 + 7x + -7x

Combine like terms: 10x + -7x = 3x
9 + 3x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + 3x = 12 + 0
9 + 3x = 12

Add '-9' to each side of the equation.
9 + -9 + 3x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 12 + -9
3x = 12 + -9

Combine like terms: 12 + -9 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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