2(2x)-3(x+5)=-13

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Solution for 2(2x)-3(x+5)=-13 equation:


Simplifying
2(2x) + -3(x + 5) = -13

Remove parenthesis around (2x)
2 * 2x + -3(x + 5) = -13

Multiply 2 * 2
4x + -3(x + 5) = -13

Reorder the terms:
4x + -3(5 + x) = -13
4x + (5 * -3 + x * -3) = -13
4x + (-15 + -3x) = -13

Reorder the terms:
-15 + 4x + -3x = -13

Combine like terms: 4x + -3x = 1x
-15 + 1x = -13

Solving
-15 + 1x = -13

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 1x = -13 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -13 + 15
1x = -13 + 15

Combine like terms: -13 + 15 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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