4(5-2x)-2(3x+4)=6-18x

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Solution for 4(5-2x)-2(3x+4)=6-18x equation:


Simplifying
4(5 + -2x) + -2(3x + 4) = 6 + -18x
(5 * 4 + -2x * 4) + -2(3x + 4) = 6 + -18x
(20 + -8x) + -2(3x + 4) = 6 + -18x

Reorder the terms:
20 + -8x + -2(4 + 3x) = 6 + -18x
20 + -8x + (4 * -2 + 3x * -2) = 6 + -18x
20 + -8x + (-8 + -6x) = 6 + -18x

Reorder the terms:
20 + -8 + -8x + -6x = 6 + -18x

Combine like terms: 20 + -8 = 12
12 + -8x + -6x = 6 + -18x

Combine like terms: -8x + -6x = -14x
12 + -14x = 6 + -18x

Solving
12 + -14x = 6 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
12 + -14x + 18x = 6 + -18x + 18x

Combine like terms: -14x + 18x = 4x
12 + 4x = 6 + -18x + 18x

Combine like terms: -18x + 18x = 0
12 + 4x = 6 + 0
12 + 4x = 6

Add '-12' to each side of the equation.
12 + -12 + 4x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 6 + -12
4x = 6 + -12

Combine like terms: 6 + -12 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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