4[x+3]-2[x+5]=8

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


Simplifying
4[x + 3] + -2[x + 5] = 8

Reorder the terms:
4[3 + x] + -2[x + 5] = 8
[3 * 4 + x * 4] + -2[x + 5] = 8
[12 + 4x] + -2[x + 5] = 8

Reorder the terms:
12 + 4x + -2[5 + x] = 8
12 + 4x + [5 * -2 + x * -2] = 8
12 + 4x + [-10 + -2x] = 8

Reorder the terms:
12 + -10 + 4x + -2x = 8

Combine like terms: 12 + -10 = 2
2 + 4x + -2x = 8

Combine like terms: 4x + -2x = 2x
2 + 2x = 8

Solving
2 + 2x = 8

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 8 + -2
2x = 8 + -2

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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