4(x+1)-6(x-2)=8

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Solution for 4(x+1)-6(x-2)=8 equation: 


Simplifying
4(x + 1) + -6(x + -2) = 8

Reorder the terms:
4(1 + x) + -6(x + -2) = 8
(1 * 4 + x * 4) + -6(x + -2) = 8
(4 + 4x) + -6(x + -2) = 8

Reorder the terms:
4 + 4x + -6(-2 + x) = 8
4 + 4x + (-2 * -6 + x * -6) = 8
4 + 4x + (12 + -6x) = 8

Reorder the terms:
4 + 12 + 4x + -6x = 8

Combine like terms: 4 + 12 = 16
16 + 4x + -6x = 8

Combine like terms: 4x + -6x = -2x
16 + -2x = 8

Solving
16 + -2x = 8

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 + -2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 8 + -16
-2x = 8 + -16

Combine like terms: 8 + -16 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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