3(x-3)+13=2(x+4)

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Solution for 3(x-3)+13=2(x+4) equation:


Simplifying
3(x + -3) + 13 = 2(x + 4)

Reorder the terms:
3(-3 + x) + 13 = 2(x + 4)
(-3 * 3 + x * 3) + 13 = 2(x + 4)
(-9 + 3x) + 13 = 2(x + 4)

Reorder the terms:
-9 + 13 + 3x = 2(x + 4)

Combine like terms: -9 + 13 = 4
4 + 3x = 2(x + 4)

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

Solving
4 + 3x = 8 + 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.
4 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
4 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 1x = 8 + 0
4 + 1x = 8

Add '-4' to each side of the equation.
4 + -4 + 1x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 8 + -4
1x = 8 + -4

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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