3x+7(x+2)-13=12-3x

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Solution for 3x+7(x+2)-13=12-3x equation:


Simplifying
3x + 7(x + 2) + -13 = 12 + -3x

Reorder the terms:
3x + 7(2 + x) + -13 = 12 + -3x
3x + (2 * 7 + x * 7) + -13 = 12 + -3x
3x + (14 + 7x) + -13 = 12 + -3x

Reorder the terms:
14 + -13 + 3x + 7x = 12 + -3x

Combine like terms: 14 + -13 = 1
1 + 3x + 7x = 12 + -3x

Combine like terms: 3x + 7x = 10x
1 + 10x = 12 + -3x

Solving
1 + 10x = 12 + -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.
1 + 10x + 3x = 12 + -3x + 3x

Combine like terms: 10x + 3x = 13x
1 + 13x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 13x = 12 + 0
1 + 13x = 12

Add '-1' to each side of the equation.
1 + -1 + 13x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = 12 + -1
13x = 12 + -1

Combine like terms: 12 + -1 = 11
13x = 11

Divide each side by '13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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