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

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


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

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

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

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

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

Reorder the terms:
4 + -2x = 8 + 5x

Solving
4 + -2x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -2x + -5x = 8 + 5x + -5x

Combine like terms: -2x + -5x = -7x
4 + -7x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -7x = 8 + 0
4 + -7x = 8

Add '-4' to each side of the equation.
4 + -4 + -7x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 8 + -4
-7x = 8 + -4

Combine like terms: 8 + -4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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