6(x-2)-3(5x+2)=3

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Solution for 6(x-2)-3(5x+2)=3 equation:


Simplifying
6(x + -2) + -3(5x + 2) = 3

Reorder the terms:
6(-2 + x) + -3(5x + 2) = 3
(-2 * 6 + x * 6) + -3(5x + 2) = 3
(-12 + 6x) + -3(5x + 2) = 3

Reorder the terms:
-12 + 6x + -3(2 + 5x) = 3
-12 + 6x + (2 * -3 + 5x * -3) = 3
-12 + 6x + (-6 + -15x) = 3

Reorder the terms:
-12 + -6 + 6x + -15x = 3

Combine like terms: -12 + -6 = -18
-18 + 6x + -15x = 3

Combine like terms: 6x + -15x = -9x
-18 + -9x = 3

Solving
-18 + -9x = 3

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -9x = 3 + 18

Combine like terms: -18 + 18 = 0
0 + -9x = 3 + 18
-9x = 3 + 18

Combine like terms: 3 + 18 = 21
-9x = 21

Divide each side by '-9'.
x = -2.333333333

Simplifying
x = -2.333333333

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