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

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


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

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

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

Reorder the terms:
7 + 4 + 7x + 4x = 6x + -6

Combine like terms: 7 + 4 = 11
11 + 7x + 4x = 6x + -6

Combine like terms: 7x + 4x = 11x
11 + 11x = 6x + -6

Reorder the terms:
11 + 11x = -6 + 6x

Solving
11 + 11x = -6 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 11x + -6x = 5x
11 + 5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 5x = -6 + 0
11 + 5x = -6

Add '-11' to each side of the equation.
11 + -11 + 5x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = -6 + -11
5x = -6 + -11

Combine like terms: -6 + -11 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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