12x+2-5x=3(x+5)+3

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Solution for 12x+2-5x=3(x+5)+3 equation: 


Simplifying
12x + 2 + -5x = 3(x + 5) + 3

Reorder the terms:
2 + 12x + -5x = 3(x + 5) + 3

Combine like terms: 12x + -5x = 7x
2 + 7x = 3(x + 5) + 3

Reorder the terms:
2 + 7x = 3(5 + x) + 3
2 + 7x = (5 * 3 + x * 3) + 3
2 + 7x = (15 + 3x) + 3

Reorder the terms:
2 + 7x = 15 + 3 + 3x

Combine like terms: 15 + 3 = 18
2 + 7x = 18 + 3x

Solving
2 + 7x = 18 + 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.
2 + 7x + -3x = 18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
2 + 4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 4x = 18 + 0
2 + 4x = 18

Add '-2' to each side of the equation.
2 + -2 + 4x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 18 + -2
4x = 18 + -2

Combine like terms: 18 + -2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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