3(x+6)-4(x+2)=x+5

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Solution for 3(x+6)-4(x+2)=x+5 equation: 


Simplifying
3(x + 6) + -4(x + 2) = x + 5

Reorder the terms:
3(6 + x) + -4(x + 2) = x + 5
(6 * 3 + x * 3) + -4(x + 2) = x + 5
(18 + 3x) + -4(x + 2) = x + 5

Reorder the terms:
18 + 3x + -4(2 + x) = x + 5
18 + 3x + (2 * -4 + x * -4) = x + 5
18 + 3x + (-8 + -4x) = x + 5

Reorder the terms:
18 + -8 + 3x + -4x = x + 5

Combine like terms: 18 + -8 = 10
10 + 3x + -4x = x + 5

Combine like terms: 3x + -4x = -1x
10 + -1x = x + 5

Reorder the terms:
10 + -1x = 5 + x

Solving
10 + -1x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -1x + -1x = 5 + x + -1x

Combine like terms: -1x + -1x = -2x
10 + -2x = 5 + x + -1x

Combine like terms: x + -1x = 0
10 + -2x = 5 + 0
10 + -2x = 5

Add '-10' to each side of the equation.
10 + -10 + -2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 5 + -10
-2x = 5 + -10

Combine like terms: 5 + -10 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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