4(x-2)+12=3(x+3)

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Solution for 4(x-2)+12=3(x+3) equation:


Simplifying
4(x + -2) + 12 = 3(x + 3)

Reorder the terms:
4(-2 + x) + 12 = 3(x + 3)
(-2 * 4 + x * 4) + 12 = 3(x + 3)
(-8 + 4x) + 12 = 3(x + 3)

Reorder the terms:
-8 + 12 + 4x = 3(x + 3)

Combine like terms: -8 + 12 = 4
4 + 4x = 3(x + 3)

Reorder the terms:
4 + 4x = 3(3 + x)
4 + 4x = (3 * 3 + x * 3)
4 + 4x = (9 + 3x)

Solving
4 + 4x = 9 + 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.
4 + 4x + -3x = 9 + 3x + -3x

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

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

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

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

Combine like terms: 9 + -4 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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