7x+3=2(3x+1)-x-8

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Solution for 7x+3=2(3x+1)-x-8 equation:


Simplifying
7x + 3 = 2(3x + 1) + -1x + -8

Reorder the terms:
3 + 7x = 2(3x + 1) + -1x + -8

Reorder the terms:
3 + 7x = 2(1 + 3x) + -1x + -8
3 + 7x = (1 * 2 + 3x * 2) + -1x + -8
3 + 7x = (2 + 6x) + -1x + -8

Reorder the terms:
3 + 7x = 2 + -8 + 6x + -1x

Combine like terms: 2 + -8 = -6
3 + 7x = -6 + 6x + -1x

Combine like terms: 6x + -1x = 5x
3 + 7x = -6 + 5x

Solving
3 + 7x = -6 + 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.
3 + 7x + -5x = -6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
3 + 2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 2x = -6 + 0
3 + 2x = -6

Add '-3' to each side of the equation.
3 + -3 + 2x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -6 + -3
2x = -6 + -3

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

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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