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

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


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

Combine like terms: 2x + 3x = 5x
2(5x) = x + -1(3x + 10)

Remove parenthesis around (5x)
2 * 5x = x + -1(3x + 10)

Multiply 2 * 5
10x = x + -1(3x + 10)

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

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

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

Solving
10x = -10 + -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.
10x + 2x = -10 + -2x + 2x

Combine like terms: 10x + 2x = 12x
12x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
12x = -10 + 0
12x = -10

Divide each side by '12'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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