3(x+5)=2(4x+20)

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Solution for 3(x+5)=2(4x+20) equation:


Simplifying
3(x + 5) = 2(4x + 20)

Reorder the terms:
3(5 + x) = 2(4x + 20)
(5 * 3 + x * 3) = 2(4x + 20)
(15 + 3x) = 2(4x + 20)

Reorder the terms:
15 + 3x = 2(20 + 4x)
15 + 3x = (20 * 2 + 4x * 2)
15 + 3x = (40 + 8x)

Solving
15 + 3x = 40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 3x + -8x = 40 + 8x + -8x

Combine like terms: 3x + -8x = -5x
15 + -5x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -5x = 40 + 0
15 + -5x = 40

Add '-15' to each side of the equation.
15 + -15 + -5x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 40 + -15
-5x = 40 + -15

Combine like terms: 40 + -15 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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