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

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


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

Reorder the terms:
4(1 + 2x) + 1 = 3(x + 5)
(1 * 4 + 2x * 4) + 1 = 3(x + 5)
(4 + 8x) + 1 = 3(x + 5)

Reorder the terms:
4 + 1 + 8x = 3(x + 5)

Combine like terms: 4 + 1 = 5
5 + 8x = 3(x + 5)

Reorder the terms:
5 + 8x = 3(5 + x)
5 + 8x = (5 * 3 + x * 3)
5 + 8x = (15 + 3x)

Solving
5 + 8x = 15 + 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 + 8x + -3x = 15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + 5x = 15 + 0
5 + 5x = 15

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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