10-2(4x-1)=-18-3x

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Solution for 10-2(4x-1)=-18-3x equation:


Simplifying
10 + -2(4x + -1) = -18 + -3x

Reorder the terms:
10 + -2(-1 + 4x) = -18 + -3x
10 + (-1 * -2 + 4x * -2) = -18 + -3x
10 + (2 + -8x) = -18 + -3x

Combine like terms: 10 + 2 = 12
12 + -8x = -18 + -3x

Solving
12 + -8x = -18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + -8x + 3x = -18 + -3x + 3x

Combine like terms: -8x + 3x = -5x
12 + -5x = -18 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -5x = -18 + 0
12 + -5x = -18

Add '-12' to each side of the equation.
12 + -12 + -5x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -18 + -12
-5x = -18 + -12

Combine like terms: -18 + -12 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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