6(x+4)+2x=7(x+1)+5

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Solution for 6(x+4)+2x=7(x+1)+5 equation: 


Simplifying
6(x + 4) + 2x = 7(x + 1) + 5

Reorder the terms:
6(4 + x) + 2x = 7(x + 1) + 5
(4 * 6 + x * 6) + 2x = 7(x + 1) + 5
(24 + 6x) + 2x = 7(x + 1) + 5

Combine like terms: 6x + 2x = 8x
24 + 8x = 7(x + 1) + 5

Reorder the terms:
24 + 8x = 7(1 + x) + 5
24 + 8x = (1 * 7 + x * 7) + 5
24 + 8x = (7 + 7x) + 5

Reorder the terms:
24 + 8x = 7 + 5 + 7x

Combine like terms: 7 + 5 = 12
24 + 8x = 12 + 7x

Solving
24 + 8x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 8x + -7x = 12 + 7x + -7x

Combine like terms: 8x + -7x = 1x
24 + 1x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 1x = 12 + 0
24 + 1x = 12

Add '-24' to each side of the equation.
24 + -24 + 1x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 12 + -24
1x = 12 + -24

Combine like terms: 12 + -24 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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