4(7x+10)=3(9x-5)+20

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Solution for 4(7x+10)=3(9x-5)+20 equation: 


Simplifying
4(7x + 10) = 3(9x + -5) + 20

Reorder the terms:
4(10 + 7x) = 3(9x + -5) + 20
(10 * 4 + 7x * 4) = 3(9x + -5) + 20
(40 + 28x) = 3(9x + -5) + 20

Reorder the terms:
40 + 28x = 3(-5 + 9x) + 20
40 + 28x = (-5 * 3 + 9x * 3) + 20
40 + 28x = (-15 + 27x) + 20

Reorder the terms:
40 + 28x = -15 + 20 + 27x

Combine like terms: -15 + 20 = 5
40 + 28x = 5 + 27x

Solving
40 + 28x = 5 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
40 + 28x + -27x = 5 + 27x + -27x

Combine like terms: 28x + -27x = 1x
40 + 1x = 5 + 27x + -27x

Combine like terms: 27x + -27x = 0
40 + 1x = 5 + 0
40 + 1x = 5

Add '-40' to each side of the equation.
40 + -40 + 1x = 5 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = 5 + -40
1x = 5 + -40

Combine like terms: 5 + -40 = -35
1x = -35

Divide each side by '1'.
x = -35

Simplifying
x = -35

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