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

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


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

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

Reorder the terms:
5 + 10x = 3(4 + 5x)
5 + 10x = (4 * 3 + 5x * 3)
5 + 10x = (12 + 15x)

Solving
5 + 10x = 12 + 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.
5 + 10x + -15x = 12 + 15x + -15x

Combine like terms: 10x + -15x = -5x
5 + -5x = 12 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -5x = 12 + 0
5 + -5x = 12

Add '-5' to each side of the equation.
5 + -5 + -5x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 12 + -5
-5x = 12 + -5

Combine like terms: 12 + -5 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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