5(x-1)-2(x-8)=9x-14

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Solution for 5(x-1)-2(x-8)=9x-14 equation:


Simplifying
5(x + -1) + -2(x + -8) = 9x + -14

Reorder the terms:
5(-1 + x) + -2(x + -8) = 9x + -14
(-1 * 5 + x * 5) + -2(x + -8) = 9x + -14
(-5 + 5x) + -2(x + -8) = 9x + -14

Reorder the terms:
-5 + 5x + -2(-8 + x) = 9x + -14
-5 + 5x + (-8 * -2 + x * -2) = 9x + -14
-5 + 5x + (16 + -2x) = 9x + -14

Reorder the terms:
-5 + 16 + 5x + -2x = 9x + -14

Combine like terms: -5 + 16 = 11
11 + 5x + -2x = 9x + -14

Combine like terms: 5x + -2x = 3x
11 + 3x = 9x + -14

Reorder the terms:
11 + 3x = -14 + 9x

Solving
11 + 3x = -14 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + 3x + -9x = -14 + 9x + -9x

Combine like terms: 3x + -9x = -6x
11 + -6x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -6x = -14 + 0
11 + -6x = -14

Add '-11' to each side of the equation.
11 + -11 + -6x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -14 + -11
-6x = -14 + -11

Combine like terms: -14 + -11 = -25
-6x = -25

Divide each side by '-6'.
x = 4.166666667

Simplifying
x = 4.166666667

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