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

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


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

Reorder the terms:
4x + 6(-3 + x) = 6(x + -6)
4x + (-3 * 6 + x * 6) = 6(x + -6)
4x + (-18 + 6x) = 6(x + -6)

Reorder the terms:
-18 + 4x + 6x = 6(x + -6)

Combine like terms: 4x + 6x = 10x
-18 + 10x = 6(x + -6)

Reorder the terms:
-18 + 10x = 6(-6 + x)
-18 + 10x = (-6 * 6 + x * 6)
-18 + 10x = (-36 + 6x)

Solving
-18 + 10x = -36 + 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.
-18 + 10x + -6x = -36 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-18 + 4x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 4x = -36 + 0
-18 + 4x = -36

Add '18' to each side of the equation.
-18 + 18 + 4x = -36 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = -36 + 18
4x = -36 + 18

Combine like terms: -36 + 18 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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