8x-2=7x-5(x+4)

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Solution for 8x-2=7x-5(x+4) equation:


Simplifying
8x + -2 = 7x + -5(x + 4)

Reorder the terms:
-2 + 8x = 7x + -5(x + 4)

Reorder the terms:
-2 + 8x = 7x + -5(4 + x)
-2 + 8x = 7x + (4 * -5 + x * -5)
-2 + 8x = 7x + (-20 + -5x)

Reorder the terms:
-2 + 8x = -20 + 7x + -5x

Combine like terms: 7x + -5x = 2x
-2 + 8x = -20 + 2x

Solving
-2 + 8x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 8x + -2x = -20 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-2 + 6x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 6x = -20 + 0
-2 + 6x = -20

Add '2' to each side of the equation.
-2 + 2 + 6x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -20 + 2
6x = -20 + 2

Combine like terms: -20 + 2 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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