40(20-4x)-14(x+20)=120x+4(5x-10)

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Solution for 40(20-4x)-14(x+20)=120x+4(5x-10) equation: 


Simplifying
40(20 + -4x) + -14(x + 20) = 120x + 4(5x + -10)
(20 * 40 + -4x * 40) + -14(x + 20) = 120x + 4(5x + -10)
(800 + -160x) + -14(x + 20) = 120x + 4(5x + -10)

Reorder the terms:
800 + -160x + -14(20 + x) = 120x + 4(5x + -10)
800 + -160x + (20 * -14 + x * -14) = 120x + 4(5x + -10)
800 + -160x + (-280 + -14x) = 120x + 4(5x + -10)

Reorder the terms:
800 + -280 + -160x + -14x = 120x + 4(5x + -10)

Combine like terms: 800 + -280 = 520
520 + -160x + -14x = 120x + 4(5x + -10)

Combine like terms: -160x + -14x = -174x
520 + -174x = 120x + 4(5x + -10)

Reorder the terms:
520 + -174x = 120x + 4(-10 + 5x)
520 + -174x = 120x + (-10 * 4 + 5x * 4)
520 + -174x = 120x + (-40 + 20x)

Reorder the terms:
520 + -174x = -40 + 120x + 20x

Combine like terms: 120x + 20x = 140x
520 + -174x = -40 + 140x

Solving
520 + -174x = -40 + 140x

Solving for variable 'x'.

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

Add '-140x' to each side of the equation.
520 + -174x + -140x = -40 + 140x + -140x

Combine like terms: -174x + -140x = -314x
520 + -314x = -40 + 140x + -140x

Combine like terms: 140x + -140x = 0
520 + -314x = -40 + 0
520 + -314x = -40

Add '-520' to each side of the equation.
520 + -520 + -314x = -40 + -520

Combine like terms: 520 + -520 = 0
0 + -314x = -40 + -520
-314x = -40 + -520

Combine like terms: -40 + -520 = -560
-314x = -560

Divide each side by '-314'.
x = 1.78343949

Simplifying
x = 1.78343949

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