20(x-3)-20(x-4)=5x-4

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Solution for 20(x-3)-20(x-4)=5x-4 equation:


Simplifying
20(x + -3) + -20(x + -4) = 5x + -4

Reorder the terms:
20(-3 + x) + -20(x + -4) = 5x + -4
(-3 * 20 + x * 20) + -20(x + -4) = 5x + -4
(-60 + 20x) + -20(x + -4) = 5x + -4

Reorder the terms:
-60 + 20x + -20(-4 + x) = 5x + -4
-60 + 20x + (-4 * -20 + x * -20) = 5x + -4
-60 + 20x + (80 + -20x) = 5x + -4

Reorder the terms:
-60 + 80 + 20x + -20x = 5x + -4

Combine like terms: -60 + 80 = 20
20 + 20x + -20x = 5x + -4

Combine like terms: 20x + -20x = 0
20 + 0 = 5x + -4
20 = 5x + -4

Reorder the terms:
20 = -4 + 5x

Solving
20 = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + -5x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -5x = -4 + 0
20 + -5x = -4

Add '-20' to each side of the equation.
20 + -20 + -5x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -4 + -20
-5x = -4 + -20

Combine like terms: -4 + -20 = -24
-5x = -24

Divide each side by '-5'.
x = 4.8

Simplifying
x = 4.8

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