5x-4(3x+1)=2x-18

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Solution for 5x-4(3x+1)=2x-18 equation:


Simplifying
5x + -4(3x + 1) = 2x + -18

Reorder the terms:
5x + -4(1 + 3x) = 2x + -18
5x + (1 * -4 + 3x * -4) = 2x + -18
5x + (-4 + -12x) = 2x + -18

Reorder the terms:
-4 + 5x + -12x = 2x + -18

Combine like terms: 5x + -12x = -7x
-4 + -7x = 2x + -18

Reorder the terms:
-4 + -7x = -18 + 2x

Solving
-4 + -7x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + -7x + -2x = -18 + 2x + -2x

Combine like terms: -7x + -2x = -9x
-4 + -9x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -9x = -18 + 0
-4 + -9x = -18

Add '4' to each side of the equation.
-4 + 4 + -9x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -18 + 4
-9x = -18 + 4

Combine like terms: -18 + 4 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

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