6-7(a+1)=6+5x-2

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Solution for 6-7(a+1)=6+5x-2 equation:


Simplifying
6 + -7(a + 1) = 6 + 5x + -2

Reorder the terms:
6 + -7(1 + a) = 6 + 5x + -2
6 + (1 * -7 + a * -7) = 6 + 5x + -2
6 + (-7 + -7a) = 6 + 5x + -2

Combine like terms: 6 + -7 = -1
-1 + -7a = 6 + 5x + -2

Reorder the terms:
-1 + -7a = 6 + -2 + 5x

Combine like terms: 6 + -2 = 4
-1 + -7a = 4 + 5x

Solving
-1 + -7a = 4 + 5x

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + -7a = 4 + 1 + 5x

Combine like terms: -1 + 1 = 0
0 + -7a = 4 + 1 + 5x
-7a = 4 + 1 + 5x

Combine like terms: 4 + 1 = 5
-7a = 5 + 5x

Divide each side by '-7'.
a = -0.7142857143 + -0.7142857143x

Simplifying
a = -0.7142857143 + -0.7142857143x

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