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

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


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

Reorder the terms:
3x + 2(2 + x) = 20(2x + -5)
3x + (2 * 2 + x * 2) = 20(2x + -5)
3x + (4 + 2x) = 20(2x + -5)

Reorder the terms:
4 + 3x + 2x = 20(2x + -5)

Combine like terms: 3x + 2x = 5x
4 + 5x = 20(2x + -5)

Reorder the terms:
4 + 5x = 20(-5 + 2x)
4 + 5x = (-5 * 20 + 2x * 20)
4 + 5x = (-100 + 40x)

Solving
4 + 5x = -100 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
4 + 5x + -40x = -100 + 40x + -40x

Combine like terms: 5x + -40x = -35x
4 + -35x = -100 + 40x + -40x

Combine like terms: 40x + -40x = 0
4 + -35x = -100 + 0
4 + -35x = -100

Add '-4' to each side of the equation.
4 + -4 + -35x = -100 + -4

Combine like terms: 4 + -4 = 0
0 + -35x = -100 + -4
-35x = -100 + -4

Combine like terms: -100 + -4 = -104
-35x = -104

Divide each side by '-35'.
x = 2.971428571

Simplifying
x = 2.971428571

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