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

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


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

Reorder the terms:
4(3 + x) + -1(x + -2) = 3(x + 2)
(3 * 4 + x * 4) + -1(x + -2) = 3(x + 2)
(12 + 4x) + -1(x + -2) = 3(x + 2)

Reorder the terms:
12 + 4x + -1(-2 + x) = 3(x + 2)
12 + 4x + (-2 * -1 + x * -1) = 3(x + 2)
12 + 4x + (2 + -1x) = 3(x + 2)

Reorder the terms:
12 + 2 + 4x + -1x = 3(x + 2)

Combine like terms: 12 + 2 = 14
14 + 4x + -1x = 3(x + 2)

Combine like terms: 4x + -1x = 3x
14 + 3x = 3(x + 2)

Reorder the terms:
14 + 3x = 3(2 + x)
14 + 3x = (2 * 3 + x * 3)
14 + 3x = (6 + 3x)

Add '-3x' to each side of the equation.
14 + 3x + -3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 0 = 6 + 3x + -3x
14 = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 = 6 + 0
14 = 6

Solving
14 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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