3(x-4)-2=4(x-6)

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Solution for 3(x-4)-2=4(x-6) equation:


Simplifying
3(x + -4) + -2 = 4(x + -6)

Reorder the terms:
3(-4 + x) + -2 = 4(x + -6)
(-4 * 3 + x * 3) + -2 = 4(x + -6)
(-12 + 3x) + -2 = 4(x + -6)

Reorder the terms:
-12 + -2 + 3x = 4(x + -6)

Combine like terms: -12 + -2 = -14
-14 + 3x = 4(x + -6)

Reorder the terms:
-14 + 3x = 4(-6 + x)
-14 + 3x = (-6 * 4 + x * 4)
-14 + 3x = (-24 + 4x)

Solving
-14 + 3x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 3x + -4x = -24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-14 + -1x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -1x = -24 + 0
-14 + -1x = -24

Add '14' to each side of the equation.
-14 + 14 + -1x = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -24 + 14
-1x = -24 + 14

Combine like terms: -24 + 14 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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