6(x-3)=9x+10x-8

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Solution for 6(x-3)=9x+10x-8 equation:


Simplifying
6(x + -3) = 9x + 10x + -8

Reorder the terms:
6(-3 + x) = 9x + 10x + -8
(-3 * 6 + x * 6) = 9x + 10x + -8
(-18 + 6x) = 9x + 10x + -8

Reorder the terms:
-18 + 6x = -8 + 9x + 10x

Combine like terms: 9x + 10x = 19x
-18 + 6x = -8 + 19x

Solving
-18 + 6x = -8 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-18 + 6x + -19x = -8 + 19x + -19x

Combine like terms: 6x + -19x = -13x
-18 + -13x = -8 + 19x + -19x

Combine like terms: 19x + -19x = 0
-18 + -13x = -8 + 0
-18 + -13x = -8

Add '18' to each side of the equation.
-18 + 18 + -13x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + -13x = -8 + 18
-13x = -8 + 18

Combine like terms: -8 + 18 = 10
-13x = 10

Divide each side by '-13'.
x = -0.7692307692

Simplifying
x = -0.7692307692

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