7x+6=7-(8x-4)

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Solution for 7x+6=7-(8x-4) equation:


Simplifying
7x + 6 = 7 + -1(8x + -4)

Reorder the terms:
6 + 7x = 7 + -1(8x + -4)

Reorder the terms:
6 + 7x = 7 + -1(-4 + 8x)
6 + 7x = 7 + (-4 * -1 + 8x * -1)
6 + 7x = 7 + (4 + -8x)

Combine like terms: 7 + 4 = 11
6 + 7x = 11 + -8x

Solving
6 + 7x = 11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 7x + 8x = 11 + -8x + 8x

Combine like terms: 7x + 8x = 15x
6 + 15x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 15x = 11 + 0
6 + 15x = 11

Add '-6' to each side of the equation.
6 + -6 + 15x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 11 + -6
15x = 11 + -6

Combine like terms: 11 + -6 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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