2x-4+2(3x)+13=-2-3x+10

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Solution for 2x-4+2(3x)+13=-2-3x+10 equation:


Simplifying
2x + -4 + 2(3x) + 13 = -2 + -3x + 10

Remove parenthesis around (3x)
2x + -4 + 2 * 3x + 13 = -2 + -3x + 10

Multiply 2 * 3
2x + -4 + 6x + 13 = -2 + -3x + 10

Reorder the terms:
-4 + 13 + 2x + 6x = -2 + -3x + 10

Combine like terms: -4 + 13 = 9
9 + 2x + 6x = -2 + -3x + 10

Combine like terms: 2x + 6x = 8x
9 + 8x = -2 + -3x + 10

Reorder the terms:
9 + 8x = -2 + 10 + -3x

Combine like terms: -2 + 10 = 8
9 + 8x = 8 + -3x

Solving
9 + 8x = 8 + -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.
9 + 8x + 3x = 8 + -3x + 3x

Combine like terms: 8x + 3x = 11x
9 + 11x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 11x = 8 + 0
9 + 11x = 8

Add '-9' to each side of the equation.
9 + -9 + 11x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = 8 + -9
11x = 8 + -9

Combine like terms: 8 + -9 = -1
11x = -1

Divide each side by '11'.
x = -0.09090909091

Simplifying
x = -0.09090909091

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