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

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


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

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

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

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

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

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

Solving
11 + 11x = 6 + 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.
11 + 11x + -7x = 6 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
11 + 4x = 6 + 0
11 + 4x = 6

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

Combine like terms: 11 + -11 = 0
0 + 4x = 6 + -11
4x = 6 + -11

Combine like terms: 6 + -11 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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