3(x-4)+15=2(x+3)

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Solution for 3(x-4)+15=2(x+3) equation:


Simplifying
3(x + -4) + 15 = 2(x + 3)

Reorder the terms:
3(-4 + x) + 15 = 2(x + 3)
(-4 * 3 + x * 3) + 15 = 2(x + 3)
(-12 + 3x) + 15 = 2(x + 3)

Reorder the terms:
-12 + 15 + 3x = 2(x + 3)

Combine like terms: -12 + 15 = 3
3 + 3x = 2(x + 3)

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

Solving
3 + 3x = 6 + 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.
3 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
3 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 1x = 6 + 0
3 + 1x = 6

Add '-3' to each side of the equation.
3 + -3 + 1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 6 + -3
1x = 6 + -3

Combine like terms: 6 + -3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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