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

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


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

Reorder the terms:
4(5 + 3x) = 3(5x + 2) + 2
(5 * 4 + 3x * 4) = 3(5x + 2) + 2
(20 + 12x) = 3(5x + 2) + 2

Reorder the terms:
20 + 12x = 3(2 + 5x) + 2
20 + 12x = (2 * 3 + 5x * 3) + 2
20 + 12x = (6 + 15x) + 2

Reorder the terms:
20 + 12x = 6 + 2 + 15x

Combine like terms: 6 + 2 = 8
20 + 12x = 8 + 15x

Solving
20 + 12x = 8 + 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.
20 + 12x + -15x = 8 + 15x + -15x

Combine like terms: 12x + -15x = -3x
20 + -3x = 8 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -3x = 8 + 0
20 + -3x = 8

Add '-20' to each side of the equation.
20 + -20 + -3x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 8 + -20
-3x = 8 + -20

Combine like terms: 8 + -20 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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