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

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


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

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

Reorder the terms:
6 + 6x = 7 + 4(2 + x)
6 + 6x = 7 + (2 * 4 + x * 4)
6 + 6x = 7 + (8 + 4x)

Combine like terms: 7 + 8 = 15
6 + 6x = 15 + 4x

Solving
6 + 6x = 15 + 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.
6 + 6x + -4x = 15 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = 15 + 0
6 + 2x = 15

Add '-6' to each side of the equation.
6 + -6 + 2x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 15 + -6
2x = 15 + -6

Combine like terms: 15 + -6 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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