4x-6=10(x-6)

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


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

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

Reorder the terms:
-6 + 4x = 10(-6 + x)
-6 + 4x = (-6 * 10 + x * 10)
-6 + 4x = (-60 + 10x)

Solving
-6 + 4x = -60 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 4x + -10x = -60 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-6 + -6x = -60 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -6x = -60 + 0
-6 + -6x = -60

Add '6' to each side of the equation.
-6 + 6 + -6x = -60 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -60 + 6
-6x = -60 + 6

Combine like terms: -60 + 6 = -54
-6x = -54

Divide each side by '-6'.
x = 9

Simplifying
x = 9

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