2(x-3)+8=3(x-4)

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Solution for 2(x-3)+8=3(x-4) equation: 


Simplifying
2(x + -3) + 8 = 3(x + -4)

Reorder the terms:
2(-3 + x) + 8 = 3(x + -4)
(-3 * 2 + x * 2) + 8 = 3(x + -4)
(-6 + 2x) + 8 = 3(x + -4)

Reorder the terms:
-6 + 8 + 2x = 3(x + -4)

Combine like terms: -6 + 8 = 2
2 + 2x = 3(x + -4)

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

Solving
2 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
2 + 2x + -3x = -12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -1x = -12 + 0
2 + -1x = -12

Add '-2' to each side of the equation.
2 + -2 + -1x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -12 + -2
-1x = -12 + -2

Combine like terms: -12 + -2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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