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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