4(x+6)+11(x-2)=32

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Solution for 4(x+6)+11(x-2)=32 equation: 


Simplifying
4(x + 6) + 11(x + -2) = 32

Reorder the terms:
4(6 + x) + 11(x + -2) = 32
(6 * 4 + x * 4) + 11(x + -2) = 32
(24 + 4x) + 11(x + -2) = 32

Reorder the terms:
24 + 4x + 11(-2 + x) = 32
24 + 4x + (-2 * 11 + x * 11) = 32
24 + 4x + (-22 + 11x) = 32

Reorder the terms:
24 + -22 + 4x + 11x = 32

Combine like terms: 24 + -22 = 2
2 + 4x + 11x = 32

Combine like terms: 4x + 11x = 15x
2 + 15x = 32

Solving
2 + 15x = 32

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 + 15x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 32 + -2
15x = 32 + -2

Combine like terms: 32 + -2 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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