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

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


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

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

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

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

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

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

Reorder the terms:
5 + -3x = 5(-2 + x) + 7
5 + -3x = (-2 * 5 + x * 5) + 7
5 + -3x = (-10 + 5x) + 7

Reorder the terms:
5 + -3x = -10 + 7 + 5x

Combine like terms: -10 + 7 = -3
5 + -3x = -3 + 5x

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

Combine like terms: -3x + -5x = -8x
5 + -8x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -8x = -3 + 0
5 + -8x = -3

Add '-5' to each side of the equation.
5 + -5 + -8x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -3 + -5
-8x = -3 + -5

Combine like terms: -3 + -5 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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