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

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


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

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

Reorder the terms:
25 + 15x = 4(4 + 3x) + 3
25 + 15x = (4 * 4 + 3x * 4) + 3
25 + 15x = (16 + 12x) + 3

Reorder the terms:
25 + 15x = 16 + 3 + 12x

Combine like terms: 16 + 3 = 19
25 + 15x = 19 + 12x

Solving
25 + 15x = 19 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
25 + 15x + -12x = 19 + 12x + -12x

Combine like terms: 15x + -12x = 3x
25 + 3x = 19 + 12x + -12x

Combine like terms: 12x + -12x = 0
25 + 3x = 19 + 0
25 + 3x = 19

Add '-25' to each side of the equation.
25 + -25 + 3x = 19 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = 19 + -25
3x = 19 + -25

Combine like terms: 19 + -25 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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