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

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


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

Reorder the terms:
6(2 + x) + -1 = 4(x + 4) + 7
(2 * 6 + x * 6) + -1 = 4(x + 4) + 7
(12 + 6x) + -1 = 4(x + 4) + 7

Reorder the terms:
12 + -1 + 6x = 4(x + 4) + 7

Combine like terms: 12 + -1 = 11
11 + 6x = 4(x + 4) + 7

Reorder the terms:
11 + 6x = 4(4 + x) + 7
11 + 6x = (4 * 4 + x * 4) + 7
11 + 6x = (16 + 4x) + 7

Reorder the terms:
11 + 6x = 16 + 7 + 4x

Combine like terms: 16 + 7 = 23
11 + 6x = 23 + 4x

Solving
11 + 6x = 23 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + 6x + -4x = 23 + 4x + -4x

Combine like terms: 6x + -4x = 2x
11 + 2x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + 2x = 23 + 0
11 + 2x = 23

Add '-11' to each side of the equation.
11 + -11 + 2x = 23 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 23 + -11
2x = 23 + -11

Combine like terms: 23 + -11 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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