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

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


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

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

Reorder the terms:
12 + 6x = 4(4 + x) + 7
12 + 6x = (4 * 4 + x * 4) + 7
12 + 6x = (16 + 4x) + 7

Reorder the terms:
12 + 6x = 16 + 7 + 4x

Combine like terms: 16 + 7 = 23
12 + 6x = 23 + 4x

Solving
12 + 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.
12 + 6x + -4x = 23 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = 23 + 0
12 + 2x = 23

Add '-12' to each side of the equation.
12 + -12 + 2x = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 23 + -12
2x = 23 + -12

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

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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