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

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


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

Reorder the terms:
5(3 + x) = 4(2x + 1)
(3 * 5 + x * 5) = 4(2x + 1)
(15 + 5x) = 4(2x + 1)

Reorder the terms:
15 + 5x = 4(1 + 2x)
15 + 5x = (1 * 4 + 2x * 4)
15 + 5x = (4 + 8x)

Solving
15 + 5x = 4 + 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 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
15 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -3x = 4 + 0
15 + -3x = 4

Add '-15' to each side of the equation.
15 + -15 + -3x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 4 + -15
-3x = 4 + -15

Combine like terms: 4 + -15 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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