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

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


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

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

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

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

Multiply 4 * 3
12 + 10 = 2(10 + -3x) + 8x

Combine like terms: 12 + 10 = 22
22 = 2(10 + -3x) + 8x
22 = (10 * 2 + -3x * 2) + 8x
22 = (20 + -6x) + 8x

Combine like terms: -6x + 8x = 2x
22 = 20 + 2x

Solving
22 = 20 + 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.
22 + -2x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -2x = 20 + 0
22 + -2x = 20

Add '-22' to each side of the equation.
22 + -22 + -2x = 20 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 20 + -22
-2x = 20 + -22

Combine like terms: 20 + -22 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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