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

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


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

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

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

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

Combine like terms: 8 + -3 = 5
5 + 4x + -3x = 2(x + 2)

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

Reorder the terms:
5 + 1x = 2(2 + x)
5 + 1x = (2 * 2 + x * 2)
5 + 1x = (4 + 2x)

Solving
5 + 1x = 4 + 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.
5 + 1x + -2x = 4 + 2x + -2x

Combine like terms: 1x + -2x = -1x
5 + -1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -1x = 4 + 0
5 + -1x = 4

Add '-5' to each side of the equation.
5 + -5 + -1x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 4 + -5
-1x = 4 + -5

Combine like terms: 4 + -5 = -1
-1x = -1

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

Simplifying
x = 1

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