7x=8(x+6)-7

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


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

Reorder the terms:
7x = 8(6 + x) + -7
7x = (6 * 8 + x * 8) + -7
7x = (48 + 8x) + -7

Reorder the terms:
7x = 48 + -7 + 8x

Combine like terms: 48 + -7 = 41
7x = 41 + 8x

Solving
7x = 41 + 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.
7x + -8x = 41 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-1x = 41 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1x = 41 + 0
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41

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