5-(6x+3)=3x-8

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Solution for 5-(6x+3)=3x-8 equation:


Simplifying
5 + -1(6x + 3) = 3x + -8

Reorder the terms:
5 + -1(3 + 6x) = 3x + -8
5 + (3 * -1 + 6x * -1) = 3x + -8
5 + (-3 + -6x) = 3x + -8

Combine like terms: 5 + -3 = 2
2 + -6x = 3x + -8

Reorder the terms:
2 + -6x = -8 + 3x

Solving
2 + -6x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -6x + -3x = -8 + 3x + -3x

Combine like terms: -6x + -3x = -9x
2 + -9x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -9x = -8 + 0
2 + -9x = -8

Add '-2' to each side of the equation.
2 + -2 + -9x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = -8 + -2
-9x = -8 + -2

Combine like terms: -8 + -2 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111

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