8(x+3)+4(x-2)=52

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Solution for 8(x+3)+4(x-2)=52 equation: 


Simplifying
8(x + 3) + 4(x + -2) = 52

Reorder the terms:
8(3 + x) + 4(x + -2) = 52
(3 * 8 + x * 8) + 4(x + -2) = 52
(24 + 8x) + 4(x + -2) = 52

Reorder the terms:
24 + 8x + 4(-2 + x) = 52
24 + 8x + (-2 * 4 + x * 4) = 52
24 + 8x + (-8 + 4x) = 52

Reorder the terms:
24 + -8 + 8x + 4x = 52

Combine like terms: 24 + -8 = 16
16 + 8x + 4x = 52

Combine like terms: 8x + 4x = 12x
16 + 12x = 52

Solving
16 + 12x = 52

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 12x = 52 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = 52 + -16
12x = 52 + -16

Combine like terms: 52 + -16 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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