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

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


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

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

Reorder the terms:
4 + 8x = 5(5 + 3x)
4 + 8x = (5 * 5 + 3x * 5)
4 + 8x = (25 + 15x)

Solving
4 + 8x = 25 + 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.
4 + 8x + -15x = 25 + 15x + -15x

Combine like terms: 8x + -15x = -7x
4 + -7x = 25 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -7x = 25 + 0
4 + -7x = 25

Add '-4' to each side of the equation.
4 + -4 + -7x = 25 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 25 + -4
-7x = 25 + -4

Combine like terms: 25 + -4 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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