2(5x+1)=5(3x+4)

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Solution for 2(5x+1)=5(3x+4) equation:


Simplifying
2(5x + 1) = 5(3x + 4)

Reorder the terms:
2(1 + 5x) = 5(3x + 4)
(1 * 2 + 5x * 2) = 5(3x + 4)
(2 + 10x) = 5(3x + 4)

Reorder the terms:
2 + 10x = 5(4 + 3x)
2 + 10x = (4 * 5 + 3x * 5)
2 + 10x = (20 + 15x)

Solving
2 + 10x = 20 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 10x + -15x = 20 + 15x + -15x

Combine like terms: 10x + -15x = -5x
2 + -5x = 20 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -5x = 20 + 0
2 + -5x = 20

Add '-2' to each side of the equation.
2 + -2 + -5x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 20 + -2
-5x = 20 + -2

Combine like terms: 20 + -2 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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