2(3x-1)+5(x+4)=3(x+7)-(x+6)

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Solution for 2(3x-1)+5(x+4)=3(x+7)-(x+6) equation:


Simplifying
2(3x + -1) + 5(x + 4) = 3(x + 7) + -1(x + 6)

Reorder the terms:
2(-1 + 3x) + 5(x + 4) = 3(x + 7) + -1(x + 6)
(-1 * 2 + 3x * 2) + 5(x + 4) = 3(x + 7) + -1(x + 6)
(-2 + 6x) + 5(x + 4) = 3(x + 7) + -1(x + 6)

Reorder the terms:
-2 + 6x + 5(4 + x) = 3(x + 7) + -1(x + 6)
-2 + 6x + (4 * 5 + x * 5) = 3(x + 7) + -1(x + 6)
-2 + 6x + (20 + 5x) = 3(x + 7) + -1(x + 6)

Reorder the terms:
-2 + 20 + 6x + 5x = 3(x + 7) + -1(x + 6)

Combine like terms: -2 + 20 = 18
18 + 6x + 5x = 3(x + 7) + -1(x + 6)

Combine like terms: 6x + 5x = 11x
18 + 11x = 3(x + 7) + -1(x + 6)

Reorder the terms:
18 + 11x = 3(7 + x) + -1(x + 6)
18 + 11x = (7 * 3 + x * 3) + -1(x + 6)
18 + 11x = (21 + 3x) + -1(x + 6)

Reorder the terms:
18 + 11x = 21 + 3x + -1(6 + x)
18 + 11x = 21 + 3x + (6 * -1 + x * -1)
18 + 11x = 21 + 3x + (-6 + -1x)

Reorder the terms:
18 + 11x = 21 + -6 + 3x + -1x

Combine like terms: 21 + -6 = 15
18 + 11x = 15 + 3x + -1x

Combine like terms: 3x + -1x = 2x
18 + 11x = 15 + 2x

Solving
18 + 11x = 15 + 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.
18 + 11x + -2x = 15 + 2x + -2x

Combine like terms: 11x + -2x = 9x
18 + 9x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 9x = 15 + 0
18 + 9x = 15

Add '-18' to each side of the equation.
18 + -18 + 9x = 15 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 15 + -18
9x = 15 + -18

Combine like terms: 15 + -18 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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