9x-2(x+3)=4x+8

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Solution for 9x-2(x+3)=4x+8 equation:


Simplifying
9x + -2(x + 3) = 4x + 8

Reorder the terms:
9x + -2(3 + x) = 4x + 8
9x + (3 * -2 + x * -2) = 4x + 8
9x + (-6 + -2x) = 4x + 8

Reorder the terms:
-6 + 9x + -2x = 4x + 8

Combine like terms: 9x + -2x = 7x
-6 + 7x = 4x + 8

Reorder the terms:
-6 + 7x = 8 + 4x

Solving
-6 + 7x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 7x + -4x = 8 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-6 + 3x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 3x = 8 + 0
-6 + 3x = 8

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

Combine like terms: -6 + 6 = 0
0 + 3x = 8 + 6
3x = 8 + 6

Combine like terms: 8 + 6 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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