2(x-3)+8=4x-18

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Solution for 2(x-3)+8=4x-18 equation:


Simplifying
2(x + -3) + 8 = 4x + -18

Reorder the terms:
2(-3 + x) + 8 = 4x + -18
(-3 * 2 + x * 2) + 8 = 4x + -18
(-6 + 2x) + 8 = 4x + -18

Reorder the terms:
-6 + 8 + 2x = 4x + -18

Combine like terms: -6 + 8 = 2
2 + 2x = 4x + -18

Reorder the terms:
2 + 2x = -18 + 4x

Solving
2 + 2x = -18 + 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.
2 + 2x + -4x = -18 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = -18 + 0
2 + -2x = -18

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

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

Combine like terms: -18 + -2 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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