20(x-3)+2x=56-2(x-4)

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Solution for 20(x-3)+2x=56-2(x-4) equation:


Simplifying
20(x + -3) + 2x = 56 + -2(x + -4)

Reorder the terms:
20(-3 + x) + 2x = 56 + -2(x + -4)
(-3 * 20 + x * 20) + 2x = 56 + -2(x + -4)
(-60 + 20x) + 2x = 56 + -2(x + -4)

Combine like terms: 20x + 2x = 22x
-60 + 22x = 56 + -2(x + -4)

Reorder the terms:
-60 + 22x = 56 + -2(-4 + x)
-60 + 22x = 56 + (-4 * -2 + x * -2)
-60 + 22x = 56 + (8 + -2x)

Combine like terms: 56 + 8 = 64
-60 + 22x = 64 + -2x

Solving
-60 + 22x = 64 + -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.
-60 + 22x + 2x = 64 + -2x + 2x

Combine like terms: 22x + 2x = 24x
-60 + 24x = 64 + -2x + 2x

Combine like terms: -2x + 2x = 0
-60 + 24x = 64 + 0
-60 + 24x = 64

Add '60' to each side of the equation.
-60 + 60 + 24x = 64 + 60

Combine like terms: -60 + 60 = 0
0 + 24x = 64 + 60
24x = 64 + 60

Combine like terms: 64 + 60 = 124
24x = 124

Divide each side by '24'.
x = 5.166666667

Simplifying
x = 5.166666667

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