9-5(x-1)=2(x+4)

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Solution for 9-5(x-1)=2(x+4) equation:


Simplifying
9 + -5(x + -1) = 2(x + 4)

Reorder the terms:
9 + -5(-1 + x) = 2(x + 4)
9 + (-1 * -5 + x * -5) = 2(x + 4)
9 + (5 + -5x) = 2(x + 4)

Combine like terms: 9 + 5 = 14
14 + -5x = 2(x + 4)

Reorder the terms:
14 + -5x = 2(4 + x)
14 + -5x = (4 * 2 + x * 2)
14 + -5x = (8 + 2x)

Solving
14 + -5x = 8 + 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.
14 + -5x + -2x = 8 + 2x + -2x

Combine like terms: -5x + -2x = -7x
14 + -7x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -7x = 8 + 0
14 + -7x = 8

Add '-14' to each side of the equation.
14 + -14 + -7x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = 8 + -14
-7x = 8 + -14

Combine like terms: 8 + -14 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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