9x-3(x+1)=8x-7

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Solution for 9x-3(x+1)=8x-7 equation:


Simplifying
9x + -3(x + 1) = 8x + -7

Reorder the terms:
9x + -3(1 + x) = 8x + -7
9x + (1 * -3 + x * -3) = 8x + -7
9x + (-3 + -3x) = 8x + -7

Reorder the terms:
-3 + 9x + -3x = 8x + -7

Combine like terms: 9x + -3x = 6x
-3 + 6x = 8x + -7

Reorder the terms:
-3 + 6x = -7 + 8x

Solving
-3 + 6x = -7 + 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.
-3 + 6x + -8x = -7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-3 + -2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -2x = -7 + 0
-3 + -2x = -7

Add '3' to each side of the equation.
-3 + 3 + -2x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -7 + 3
-2x = -7 + 3

Combine like terms: -7 + 3 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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