5x+7-3(x+1)=8x+9

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Solution for 5x+7-3(x+1)=8x+9 equation:


Simplifying
5x + 7 + -3(x + 1) = 8x + 9

Reorder the terms:
5x + 7 + -3(1 + x) = 8x + 9
5x + 7 + (1 * -3 + x * -3) = 8x + 9
5x + 7 + (-3 + -3x) = 8x + 9

Reorder the terms:
7 + -3 + 5x + -3x = 8x + 9

Combine like terms: 7 + -3 = 4
4 + 5x + -3x = 8x + 9

Combine like terms: 5x + -3x = 2x
4 + 2x = 8x + 9

Reorder the terms:
4 + 2x = 9 + 8x

Solving
4 + 2x = 9 + 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.
4 + 2x + -8x = 9 + 8x + -8x

Combine like terms: 2x + -8x = -6x
4 + -6x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -6x = 9 + 0
4 + -6x = 9

Add '-4' to each side of the equation.
4 + -4 + -6x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 9 + -4
-6x = 9 + -4

Combine like terms: 9 + -4 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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