4[6-(1+2x)]+10x=2(10-3x)+8

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Solution for 4[6-(1+2x)]+10x=2(10-3x)+8 equation: 


Simplifying
4[6 + -1(1 + 2x)] + 10x = 2(10 + -3x) + 8
4[6 + (1 * -1 + 2x * -1)] + 10x = 2(10 + -3x) + 8
4[6 + (-1 + -2x)] + 10x = 2(10 + -3x) + 8

Combine like terms: 6 + -1 = 5
4[5 + -2x] + 10x = 2(10 + -3x) + 8
[5 * 4 + -2x * 4] + 10x = 2(10 + -3x) + 8
[20 + -8x] + 10x = 2(10 + -3x) + 8

Combine like terms: -8x + 10x = 2x
20 + 2x = 2(10 + -3x) + 8
20 + 2x = (10 * 2 + -3x * 2) + 8
20 + 2x = (20 + -6x) + 8

Reorder the terms:
20 + 2x = 20 + 8 + -6x

Combine like terms: 20 + 8 = 28
20 + 2x = 28 + -6x

Solving
20 + 2x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + 2x + 6x = 28 + -6x + 6x

Combine like terms: 2x + 6x = 8x
20 + 8x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + 8x = 28 + 0
20 + 8x = 28

Add '-20' to each side of the equation.
20 + -20 + 8x = 28 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 28 + -20
8x = 28 + -20

Combine like terms: 28 + -20 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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