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

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


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

Reorder the terms:
6(-5 + x) + 6 = 4(x + -4)
(-5 * 6 + x * 6) + 6 = 4(x + -4)
(-30 + 6x) + 6 = 4(x + -4)

Reorder the terms:
-30 + 6 + 6x = 4(x + -4)

Combine like terms: -30 + 6 = -24
-24 + 6x = 4(x + -4)

Reorder the terms:
-24 + 6x = 4(-4 + x)
-24 + 6x = (-4 * 4 + x * 4)
-24 + 6x = (-16 + 4x)

Solving
-24 + 6x = -16 + 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.
-24 + 6x + -4x = -16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-24 + 2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 2x = -16 + 0
-24 + 2x = -16

Add '24' to each side of the equation.
-24 + 24 + 2x = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = -16 + 24
2x = -16 + 24

Combine like terms: -16 + 24 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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