8-3x+1=7(x+1)

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Solution for 8-3x+1=7(x+1) equation:


Simplifying
8 + -3x + 1 = 7(x + 1)

Reorder the terms:
8 + 1 + -3x = 7(x + 1)

Combine like terms: 8 + 1 = 9
9 + -3x = 7(x + 1)

Reorder the terms:
9 + -3x = 7(1 + x)
9 + -3x = (1 * 7 + x * 7)
9 + -3x = (7 + 7x)

Solving
9 + -3x = 7 + 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.
9 + -3x + -7x = 7 + 7x + -7x

Combine like terms: -3x + -7x = -10x
9 + -10x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -10x = 7 + 0
9 + -10x = 7

Add '-9' to each side of the equation.
9 + -9 + -10x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 7 + -9
-10x = 7 + -9

Combine like terms: 7 + -9 = -2
-10x = -2

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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