4[x+2]-2[x-5]=30

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Solution for 4[x+2]-2[x-5]=30 equation: 


Simplifying
4[x + 2] + -2[x + -5] = 30

Reorder the terms:
4[2 + x] + -2[x + -5] = 30
[2 * 4 + x * 4] + -2[x + -5] = 30
[8 + 4x] + -2[x + -5] = 30

Reorder the terms:
8 + 4x + -2[-5 + x] = 30
8 + 4x + [-5 * -2 + x * -2] = 30
8 + 4x + [10 + -2x] = 30

Reorder the terms:
8 + 10 + 4x + -2x = 30

Combine like terms: 8 + 10 = 18
18 + 4x + -2x = 30

Combine like terms: 4x + -2x = 2x
18 + 2x = 30

Solving
18 + 2x = 30

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 2x = 30 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 30 + -18
2x = 30 + -18

Combine like terms: 30 + -18 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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