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

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Solution for 8(x-2)+1=7x-6 equation:


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

Reorder the terms:
8(-2 + x) + 1 = 7x + -6
(-2 * 8 + x * 8) + 1 = 7x + -6
(-16 + 8x) + 1 = 7x + -6

Reorder the terms:
-16 + 1 + 8x = 7x + -6

Combine like terms: -16 + 1 = -15
-15 + 8x = 7x + -6

Reorder the terms:
-15 + 8x = -6 + 7x

Solving
-15 + 8x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-15 + 8x + -7x = -6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-15 + 1x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + 1x = -6 + 0
-15 + 1x = -6

Add '15' to each side of the equation.
-15 + 15 + 1x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -6 + 15
1x = -6 + 15

Combine like terms: -6 + 15 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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