5-3(2x+4)=2x+9

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Solution for 5-3(2x+4)=2x+9 equation:


Simplifying
5 + -3(2x + 4) = 2x + 9

Reorder the terms:
5 + -3(4 + 2x) = 2x + 9
5 + (4 * -3 + 2x * -3) = 2x + 9
5 + (-12 + -6x) = 2x + 9

Combine like terms: 5 + -12 = -7
-7 + -6x = 2x + 9

Reorder the terms:
-7 + -6x = 9 + 2x

Solving
-7 + -6x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + -6x + -2x = 9 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-7 + -8x = 9 + 0
-7 + -8x = 9

Add '7' to each side of the equation.
-7 + 7 + -8x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 9 + 7
-8x = 9 + 7

Combine like terms: 9 + 7 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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