4[x+1]+2[x-5]=24

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Solution for 4[x+1]+2[x-5]=24 equation:


Simplifying
4[x + 1] + 2[x + -5] = 24

Reorder the terms:
4[1 + x] + 2[x + -5] = 24
[1 * 4 + x * 4] + 2[x + -5] = 24
[4 + 4x] + 2[x + -5] = 24

Reorder the terms:
4 + 4x + 2[-5 + x] = 24
4 + 4x + [-5 * 2 + x * 2] = 24
4 + 4x + [-10 + 2x] = 24

Reorder the terms:
4 + -10 + 4x + 2x = 24

Combine like terms: 4 + -10 = -6
-6 + 4x + 2x = 24

Combine like terms: 4x + 2x = 6x
-6 + 6x = 24

Solving
-6 + 6x = 24

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 24 + 6
6x = 24 + 6

Combine like terms: 24 + 6 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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