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

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


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

Reorder the terms:
8(-2 + x) = 4(x + 3)
(-2 * 8 + x * 8) = 4(x + 3)
(-16 + 8x) = 4(x + 3)

Reorder the terms:
-16 + 8x = 4(3 + x)
-16 + 8x = (3 * 4 + x * 4)
-16 + 8x = (12 + 4x)

Solving
-16 + 8x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 8x + -4x = 12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-16 + 4x = 12 + 0
-16 + 4x = 12

Add '16' to each side of the equation.
-16 + 16 + 4x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 12 + 16
4x = 12 + 16

Combine like terms: 12 + 16 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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