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

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


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

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

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

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

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

Solving
-8 + 8x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 8x + -6x = 8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-8 + 2x = 8 + 0
-8 + 2x = 8

Add '8' to each side of the equation.
-8 + 8 + 2x = 8 + 8

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

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

Divide each side by '2'.
x = 8

Simplifying
x = 8

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