6(x-6)+10=4(x-4)

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Solution for 6(x-6)+10=4(x-4) equation:


Simplifying
6(x + -6) + 10 = 4(x + -4)

Reorder the terms:
6(-6 + x) + 10 = 4(x + -4)
(-6 * 6 + x * 6) + 10 = 4(x + -4)
(-36 + 6x) + 10 = 4(x + -4)

Reorder the terms:
-36 + 10 + 6x = 4(x + -4)

Combine like terms: -36 + 10 = -26
-26 + 6x = 4(x + -4)

Reorder the terms:
-26 + 6x = 4(-4 + x)
-26 + 6x = (-4 * 4 + x * 4)
-26 + 6x = (-16 + 4x)

Solving
-26 + 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.
-26 + 6x + -4x = -16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-26 + 2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 2x = -16 + 0
-26 + 2x = -16

Add '26' to each side of the equation.
-26 + 26 + 2x = -16 + 26

Combine like terms: -26 + 26 = 0
0 + 2x = -16 + 26
2x = -16 + 26

Combine like terms: -16 + 26 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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