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

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


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

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

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

Combine like terms: 4 + 3 = 7
9 + 10x = -3(7) + -2x

Multiply -3 * 7
9 + 10x = -21 + -2x

Solving
9 + 10x = -21 + -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.
9 + 10x + 2x = -21 + -2x + 2x

Combine like terms: 10x + 2x = 12x
9 + 12x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 12x = -21 + 0
9 + 12x = -21

Add '-9' to each side of the equation.
9 + -9 + 12x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + 12x = -21 + -9
12x = -21 + -9

Combine like terms: -21 + -9 = -30
12x = -30

Divide each side by '12'.
x = -2.5

Simplifying
x = -2.5

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