20x-3(5x+7)=-2(3-x)

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Solution for 20x-3(5x+7)=-2(3-x) equation:


Simplifying
20x + -3(5x + 7) = -2(3 + -1x)

Reorder the terms:
20x + -3(7 + 5x) = -2(3 + -1x)
20x + (7 * -3 + 5x * -3) = -2(3 + -1x)
20x + (-21 + -15x) = -2(3 + -1x)

Reorder the terms:
-21 + 20x + -15x = -2(3 + -1x)

Combine like terms: 20x + -15x = 5x
-21 + 5x = -2(3 + -1x)
-21 + 5x = (3 * -2 + -1x * -2)
-21 + 5x = (-6 + 2x)

Solving
-21 + 5x = -6 + 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.
-21 + 5x + -2x = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-21 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 3x = -6 + 0
-21 + 3x = -6

Add '21' to each side of the equation.
-21 + 21 + 3x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = -6 + 21
3x = -6 + 21

Combine like terms: -6 + 21 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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