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

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


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

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

Reorder the terms:
-2 + x + -8x = 3x + -18

Combine like terms: x + -8x = -7x
-2 + -7x = 3x + -18

Reorder the terms:
-2 + -7x = -18 + 3x

Solving
-2 + -7x = -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.
-2 + -7x + -3x = -18 + 3x + -3x

Combine like terms: -7x + -3x = -10x
-2 + -10x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -10x = -18 + 0
-2 + -10x = -18

Add '2' to each side of the equation.
-2 + 2 + -10x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = -18 + 2
-10x = -18 + 2

Combine like terms: -18 + 2 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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