3(2x-40)=2+4(2-3x)

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Solution for 3(2x-40)=2+4(2-3x) equation: 


Simplifying
3(2x + -40) = 2 + 4(2 + -3x)

Reorder the terms:
3(-40 + 2x) = 2 + 4(2 + -3x)
(-40 * 3 + 2x * 3) = 2 + 4(2 + -3x)
(-120 + 6x) = 2 + 4(2 + -3x)
-120 + 6x = 2 + (2 * 4 + -3x * 4)
-120 + 6x = 2 + (8 + -12x)

Combine like terms: 2 + 8 = 10
-120 + 6x = 10 + -12x

Solving
-120 + 6x = 10 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-120 + 6x + 12x = 10 + -12x + 12x

Combine like terms: 6x + 12x = 18x
-120 + 18x = 10 + -12x + 12x

Combine like terms: -12x + 12x = 0
-120 + 18x = 10 + 0
-120 + 18x = 10

Add '120' to each side of the equation.
-120 + 120 + 18x = 10 + 120

Combine like terms: -120 + 120 = 0
0 + 18x = 10 + 120
18x = 10 + 120

Combine like terms: 10 + 120 = 130
18x = 130

Divide each side by '18'.
x = 7.222222222

Simplifying
x = 7.222222222

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