2[2(3-5x)+4]=5(8-6x)

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Solution for 2[2(3-5x)+4]=5(8-6x) equation:


Simplifying
2[2(3 + -5x) + 4] = 5(8 + -6x)
2[(3 * 2 + -5x * 2) + 4] = 5(8 + -6x)
2[(6 + -10x) + 4] = 5(8 + -6x)

Reorder the terms:
2[6 + 4 + -10x] = 5(8 + -6x)

Combine like terms: 6 + 4 = 10
2[10 + -10x] = 5(8 + -6x)
[10 * 2 + -10x * 2] = 5(8 + -6x)
[20 + -20x] = 5(8 + -6x)
20 + -20x = (8 * 5 + -6x * 5)
20 + -20x = (40 + -30x)

Solving
20 + -20x = 40 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
20 + -20x + 30x = 40 + -30x + 30x

Combine like terms: -20x + 30x = 10x
20 + 10x = 40 + -30x + 30x

Combine like terms: -30x + 30x = 0
20 + 10x = 40 + 0
20 + 10x = 40

Add '-20' to each side of the equation.
20 + -20 + 10x = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 40 + -20
10x = 40 + -20

Combine like terms: 40 + -20 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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