3(x-2)=5x-18

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Solution for 3(x-2)=5x-18 equation:


Simplifying
3(x + -2) = 5x + -18

Reorder the terms:
3(-2 + x) = 5x + -18
(-2 * 3 + x * 3) = 5x + -18
(-6 + 3x) = 5x + -18

Reorder the terms:
-6 + 3x = -18 + 5x

Solving
-6 + 3x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -18 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -18 + 0
-6 + -2x = -18

Add '6' to each side of the equation.
-6 + 6 + -2x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -18 + 6
-2x = -18 + 6

Combine like terms: -18 + 6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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