7x-6=8(x+4)

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


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

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

Reorder the terms:
-6 + 7x = 8(4 + x)
-6 + 7x = (4 * 8 + x * 8)
-6 + 7x = (32 + 8x)

Solving
-6 + 7x = 32 + 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 = 32 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-6 + -1x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -1x = 32 + 0
-6 + -1x = 32

Add '6' to each side of the equation.
-6 + 6 + -1x = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 32 + 6
-1x = 32 + 6

Combine like terms: 32 + 6 = 38
-1x = 38

Divide each side by '-1'.
x = -38

Simplifying
x = -38

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