6+3(x-4)=6(x-5)

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Solution for 6+3(x-4)=6(x-5) equation:


Simplifying
6 + 3(x + -4) = 6(x + -5)

Reorder the terms:
6 + 3(-4 + x) = 6(x + -5)
6 + (-4 * 3 + x * 3) = 6(x + -5)
6 + (-12 + 3x) = 6(x + -5)

Combine like terms: 6 + -12 = -6
-6 + 3x = 6(x + -5)

Reorder the terms:
-6 + 3x = 6(-5 + x)
-6 + 3x = (-5 * 6 + x * 6)
-6 + 3x = (-30 + 6x)

Solving
-6 + 3x = -30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -30 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -30 + 0
-6 + -3x = -30

Add '6' to each side of the equation.
-6 + 6 + -3x = -30 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -30 + 6
-3x = -30 + 6

Combine like terms: -30 + 6 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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