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

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


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

Reorder the terms:
3(-4 + x) + 13 = 2(x + 3)
(-4 * 3 + x * 3) + 13 = 2(x + 3)
(-12 + 3x) + 13 = 2(x + 3)

Reorder the terms:
-12 + 13 + 3x = 2(x + 3)

Combine like terms: -12 + 13 = 1
1 + 3x = 2(x + 3)

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

Solving
1 + 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.
1 + 3x + -2x = 6 + 2x + -2x

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

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

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

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

Combine like terms: 6 + -1 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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