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

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


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

Reorder the terms:
-10 + 9x + 6x = 4(6x + -4) + 3

Combine like terms: 9x + 6x = 15x
-10 + 15x = 4(6x + -4) + 3

Reorder the terms:
-10 + 15x = 4(-4 + 6x) + 3
-10 + 15x = (-4 * 4 + 6x * 4) + 3
-10 + 15x = (-16 + 24x) + 3

Reorder the terms:
-10 + 15x = -16 + 3 + 24x

Combine like terms: -16 + 3 = -13
-10 + 15x = -13 + 24x

Solving
-10 + 15x = -13 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-10 + 15x + -24x = -13 + 24x + -24x

Combine like terms: 15x + -24x = -9x
-10 + -9x = -13 + 24x + -24x

Combine like terms: 24x + -24x = 0
-10 + -9x = -13 + 0
-10 + -9x = -13

Add '10' to each side of the equation.
-10 + 10 + -9x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = -13 + 10
-9x = -13 + 10

Combine like terms: -13 + 10 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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