3(2x-5)+4=8x+9

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Solution for 3(2x-5)+4=8x+9 equation:


Simplifying
3(2x + -5) + 4 = 8x + 9

Reorder the terms:
3(-5 + 2x) + 4 = 8x + 9
(-5 * 3 + 2x * 3) + 4 = 8x + 9
(-15 + 6x) + 4 = 8x + 9

Reorder the terms:
-15 + 4 + 6x = 8x + 9

Combine like terms: -15 + 4 = -11
-11 + 6x = 8x + 9

Reorder the terms:
-11 + 6x = 9 + 8x

Solving
-11 + 6x = 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.
-11 + 6x + -8x = 9 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-11 + -2x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + -2x = 9 + 0
-11 + -2x = 9

Add '11' to each side of the equation.
-11 + 11 + -2x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 9 + 11
-2x = 9 + 11

Combine like terms: 9 + 11 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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