12x-(3x+3)=2(x+5)-10

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Solution for 12x-(3x+3)=2(x+5)-10 equation:


Simplifying
12x + -1(3x + 3) = 2(x + 5) + -10

Reorder the terms:
12x + -1(3 + 3x) = 2(x + 5) + -10
12x + (3 * -1 + 3x * -1) = 2(x + 5) + -10
12x + (-3 + -3x) = 2(x + 5) + -10

Reorder the terms:
-3 + 12x + -3x = 2(x + 5) + -10

Combine like terms: 12x + -3x = 9x
-3 + 9x = 2(x + 5) + -10

Reorder the terms:
-3 + 9x = 2(5 + x) + -10
-3 + 9x = (5 * 2 + x * 2) + -10
-3 + 9x = (10 + 2x) + -10

Reorder the terms:
-3 + 9x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
-3 + 9x = 0 + 2x
-3 + 9x = 2x

Solving
-3 + 9x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 9x + -2x = 2x + -2x

Combine like terms: 9x + -2x = 7x
-3 + 7x = 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 7x = 0

Add '3' to each side of the equation.
-3 + 3 + 7x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 0 + 3
7x = 0 + 3

Combine like terms: 0 + 3 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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