5(x-1)=9x-10

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Solution for 5(x-1)=9x-10 equation:


Simplifying
5(x + -1) = 9x + -10

Reorder the terms:
5(-1 + x) = 9x + -10
(-1 * 5 + x * 5) = 9x + -10
(-5 + 5x) = 9x + -10

Reorder the terms:
-5 + 5x = -10 + 9x

Solving
-5 + 5x = -10 + 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.
-5 + 5x + -9x = -10 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-5 + -4x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -4x = -10 + 0
-5 + -4x = -10

Add '5' to each side of the equation.
-5 + 5 + -4x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -10 + 5
-4x = -10 + 5

Combine like terms: -10 + 5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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