9x-4x+6(3x-1)=10x+2

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Solution for 9x-4x+6(3x-1)=10x+2 equation:


Simplifying
9x + -4x + 6(3x + -1) = 10x + 2

Reorder the terms:
9x + -4x + 6(-1 + 3x) = 10x + 2
9x + -4x + (-1 * 6 + 3x * 6) = 10x + 2
9x + -4x + (-6 + 18x) = 10x + 2

Reorder the terms:
-6 + 9x + -4x + 18x = 10x + 2

Combine like terms: 9x + -4x = 5x
-6 + 5x + 18x = 10x + 2

Combine like terms: 5x + 18x = 23x
-6 + 23x = 10x + 2

Reorder the terms:
-6 + 23x = 2 + 10x

Solving
-6 + 23x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 23x + -10x = 2 + 10x + -10x

Combine like terms: 23x + -10x = 13x
-6 + 13x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + 13x = 2 + 0
-6 + 13x = 2

Add '6' to each side of the equation.
-6 + 6 + 13x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 2 + 6
13x = 2 + 6

Combine like terms: 2 + 6 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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