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

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


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

Reorder the terms:
2(2 + x) + -3(x + 1) + 8 = 3x + -1
(2 * 2 + x * 2) + -3(x + 1) + 8 = 3x + -1
(4 + 2x) + -3(x + 1) + 8 = 3x + -1

Reorder the terms:
4 + 2x + -3(1 + x) + 8 = 3x + -1
4 + 2x + (1 * -3 + x * -3) + 8 = 3x + -1
4 + 2x + (-3 + -3x) + 8 = 3x + -1

Reorder the terms:
4 + -3 + 8 + 2x + -3x = 3x + -1

Combine like terms: 4 + -3 = 1
1 + 8 + 2x + -3x = 3x + -1

Combine like terms: 1 + 8 = 9
9 + 2x + -3x = 3x + -1

Combine like terms: 2x + -3x = -1x
9 + -1x = 3x + -1

Reorder the terms:
9 + -1x = -1 + 3x

Solving
9 + -1x = -1 + 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 + -1x + -3x = -1 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9 + -4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -4x = -1 + 0
9 + -4x = -1

Add '-9' to each side of the equation.
9 + -9 + -4x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -1 + -9
-4x = -1 + -9

Combine like terms: -1 + -9 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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