8(x-2)+4=5x+x+8

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Solution for 8(x-2)+4=5x+x+8 equation:


Simplifying
8(x + -2) + 4 = 5x + x + 8

Reorder the terms:
8(-2 + x) + 4 = 5x + x + 8
(-2 * 8 + x * 8) + 4 = 5x + x + 8
(-16 + 8x) + 4 = 5x + x + 8

Reorder the terms:
-16 + 4 + 8x = 5x + x + 8

Combine like terms: -16 + 4 = -12
-12 + 8x = 5x + x + 8

Reorder the terms:
-12 + 8x = 8 + 5x + x

Combine like terms: 5x + x = 6x
-12 + 8x = 8 + 6x

Solving
-12 + 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.
-12 + 8x + -6x = 8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2x = 8 + 0
-12 + 2x = 8

Add '12' to each side of the equation.
-12 + 12 + 2x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 8 + 12
2x = 8 + 12

Combine like terms: 8 + 12 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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