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

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


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

Reorder the terms:
3(2 + x) + 2(x + -1) = 4(x + 3)
(2 * 3 + x * 3) + 2(x + -1) = 4(x + 3)
(6 + 3x) + 2(x + -1) = 4(x + 3)

Reorder the terms:
6 + 3x + 2(-1 + x) = 4(x + 3)
6 + 3x + (-1 * 2 + x * 2) = 4(x + 3)
6 + 3x + (-2 + 2x) = 4(x + 3)

Reorder the terms:
6 + -2 + 3x + 2x = 4(x + 3)

Combine like terms: 6 + -2 = 4
4 + 3x + 2x = 4(x + 3)

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

Reorder the terms:
4 + 5x = 4(3 + x)
4 + 5x = (3 * 4 + x * 4)
4 + 5x = (12 + 4x)

Solving
4 + 5x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 5x + -4x = 12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
4 + 1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 1x = 12 + 0
4 + 1x = 12

Add '-4' to each side of the equation.
4 + -4 + 1x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 12 + -4
1x = 12 + -4

Combine like terms: 12 + -4 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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