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

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


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

Reorder the terms:
3x + 5(-4 + 3x) = 2 + -4x
3x + (-4 * 5 + 3x * 5) = 2 + -4x
3x + (-20 + 15x) = 2 + -4x

Reorder the terms:
-20 + 3x + 15x = 2 + -4x

Combine like terms: 3x + 15x = 18x
-20 + 18x = 2 + -4x

Solving
-20 + 18x = 2 + -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.
-20 + 18x + 4x = 2 + -4x + 4x

Combine like terms: 18x + 4x = 22x
-20 + 22x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 22x = 2 + 0
-20 + 22x = 2

Add '20' to each side of the equation.
-20 + 20 + 22x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 22x = 2 + 20
22x = 2 + 20

Combine like terms: 2 + 20 = 22
22x = 22

Divide each side by '22'.
x = 1

Simplifying
x = 1

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