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

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


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

Reorder the terms:
6x + -5(3 + x) + 2x(3 + 1) = 7(x + -1) + -2x
6x + (3 * -5 + x * -5) + 2x(3 + 1) = 7(x + -1) + -2x
6x + (-15 + -5x) + 2x(3 + 1) = 7(x + -1) + -2x

Combine like terms: 3 + 1 = 4
6x + -15 + -5x + 2x(4) = 7(x + -1) + -2x

Reorder the terms for easier multiplication:
6x + -15 + -5x + 2 * 4x = 7(x + -1) + -2x

Multiply 2 * 4
6x + -15 + -5x + 8x = 7(x + -1) + -2x

Reorder the terms:
-15 + 6x + -5x + 8x = 7(x + -1) + -2x

Combine like terms: 6x + -5x = 1x
-15 + 1x + 8x = 7(x + -1) + -2x

Combine like terms: 1x + 8x = 9x
-15 + 9x = 7(x + -1) + -2x

Reorder the terms:
-15 + 9x = 7(-1 + x) + -2x
-15 + 9x = (-1 * 7 + x * 7) + -2x
-15 + 9x = (-7 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
-15 + 9x = -7 + 5x

Solving
-15 + 9x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 9x + -5x = -7 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-15 + 4x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 4x = -7 + 0
-15 + 4x = -7

Add '15' to each side of the equation.
-15 + 15 + 4x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = -7 + 15
4x = -7 + 15

Combine like terms: -7 + 15 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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