4x-5+7(x+1)=6x+7

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Solution for 4x-5+7(x+1)=6x+7 equation:


Simplifying
4x + -5 + 7(x + 1) = 6x + 7

Reorder the terms:
4x + -5 + 7(1 + x) = 6x + 7
4x + -5 + (1 * 7 + x * 7) = 6x + 7
4x + -5 + (7 + 7x) = 6x + 7

Reorder the terms:
-5 + 7 + 4x + 7x = 6x + 7

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

Combine like terms: 4x + 7x = 11x
2 + 11x = 6x + 7

Reorder the terms:
2 + 11x = 7 + 6x

Solving
2 + 11x = 7 + 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.
2 + 11x + -6x = 7 + 6x + -6x

Combine like terms: 11x + -6x = 5x
2 + 5x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 5x = 7 + 0
2 + 5x = 7

Add '-2' to each side of the equation.
2 + -2 + 5x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 7 + -2
5x = 7 + -2

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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