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

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


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

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

Reorder the terms:
2 + -7 + 7x + -7x = 4x + 6

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

Combine like terms: 7x + -7x = 0
-5 + 0 = 4x + 6
-5 = 4x + 6

Reorder the terms:
-5 = 6 + 4x

Solving
-5 = 6 + 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.
-5 + -4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -4x = 6 + 0
-5 + -4x = 6

Add '5' to each side of the equation.
-5 + 5 + -4x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 6 + 5
-4x = 6 + 5

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

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

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