3(x+4)-2=2(x+5)

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Solution for 3(x+4)-2=2(x+5) equation:


Simplifying
3(x + 4) + -2 = 2(x + 5)

Reorder the terms:
3(4 + x) + -2 = 2(x + 5)
(4 * 3 + x * 3) + -2 = 2(x + 5)
(12 + 3x) + -2 = 2(x + 5)

Reorder the terms:
12 + -2 + 3x = 2(x + 5)

Combine like terms: 12 + -2 = 10
10 + 3x = 2(x + 5)

Reorder the terms:
10 + 3x = 2(5 + x)
10 + 3x = (5 * 2 + x * 2)
10 + 3x = (10 + 2x)

Add '-10' to each side of the equation.
10 + -10 + 3x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + 3x = 10 + -10 + 2x
3x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
3x = 0 + 2x
3x = 2x

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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