8x-7=5(x-4)

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


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

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

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

Solving
-7 + 8x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-7 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 3x = -20 + 0
-7 + 3x = -20

Add '7' to each side of the equation.
-7 + 7 + 3x = -20 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -20 + 7
3x = -20 + 7

Combine like terms: -20 + 7 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

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