6(x+3)=10x-18

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Solution for 6(x+3)=10x-18 equation:


Simplifying
6(x + 3) = 10x + -18

Reorder the terms:
6(3 + x) = 10x + -18
(3 * 6 + x * 6) = 10x + -18
(18 + 6x) = 10x + -18

Reorder the terms:
18 + 6x = -18 + 10x

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

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

Combine like terms: 10x + -10x = 0
18 + -4x = -18 + 0
18 + -4x = -18

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

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

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

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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