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

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Solution for 5(2x+1)=3(x-2)+20 equation:


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

Reorder the terms:
5(1 + 2x) = 3(x + -2) + 20
(1 * 5 + 2x * 5) = 3(x + -2) + 20
(5 + 10x) = 3(x + -2) + 20

Reorder the terms:
5 + 10x = 3(-2 + x) + 20
5 + 10x = (-2 * 3 + x * 3) + 20
5 + 10x = (-6 + 3x) + 20

Reorder the terms:
5 + 10x = -6 + 20 + 3x

Combine like terms: -6 + 20 = 14
5 + 10x = 14 + 3x

Solving
5 + 10x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 10x + -3x = 14 + 3x + -3x

Combine like terms: 10x + -3x = 7x
5 + 7x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 7x = 14 + 0
5 + 7x = 14

Add '-5' to each side of the equation.
5 + -5 + 7x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 14 + -5
7x = 14 + -5

Combine like terms: 14 + -5 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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