6x-2(x+3)=9x-15

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Solution for 6x-2(x+3)=9x-15 equation:


Simplifying
6x + -2(x + 3) = 9x + -15

Reorder the terms:
6x + -2(3 + x) = 9x + -15
6x + (3 * -2 + x * -2) = 9x + -15
6x + (-6 + -2x) = 9x + -15

Reorder the terms:
-6 + 6x + -2x = 9x + -15

Combine like terms: 6x + -2x = 4x
-6 + 4x = 9x + -15

Reorder the terms:
-6 + 4x = -15 + 9x

Solving
-6 + 4x = -15 + 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.
-6 + 4x + -9x = -15 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-6 + -5x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -5x = -15 + 0
-6 + -5x = -15

Add '6' to each side of the equation.
-6 + 6 + -5x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -15 + 6
-5x = -15 + 6

Combine like terms: -15 + 6 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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