4[3-5(x-4)]=20-10x

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Solution for 4[3-5(x-4)]=20-10x equation:


Simplifying
4[3 + -5(x + -4)] = 20 + -10x

Reorder the terms:
4[3 + -5(-4 + x)] = 20 + -10x
4[3 + (-4 * -5 + x * -5)] = 20 + -10x
4[3 + (20 + -5x)] = 20 + -10x

Combine like terms: 3 + 20 = 23
4[23 + -5x] = 20 + -10x
[23 * 4 + -5x * 4] = 20 + -10x
[92 + -20x] = 20 + -10x

Solving
92 + -20x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
92 + -20x + 10x = 20 + -10x + 10x

Combine like terms: -20x + 10x = -10x
92 + -10x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
92 + -10x = 20 + 0
92 + -10x = 20

Add '-92' to each side of the equation.
92 + -92 + -10x = 20 + -92

Combine like terms: 92 + -92 = 0
0 + -10x = 20 + -92
-10x = 20 + -92

Combine like terms: 20 + -92 = -72
-10x = -72

Divide each side by '-10'.
x = 7.2

Simplifying
x = 7.2

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