3x+5-(9-2x)=8x-11

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Solution for 3x+5-(9-2x)=8x-11 equation:


Simplifying
3x + 5 + -1(9 + -2x) = 8x + -11
3x + 5 + (9 * -1 + -2x * -1) = 8x + -11
3x + 5 + (-9 + 2x) = 8x + -11

Reorder the terms:
5 + -9 + 3x + 2x = 8x + -11

Combine like terms: 5 + -9 = -4
-4 + 3x + 2x = 8x + -11

Combine like terms: 3x + 2x = 5x
-4 + 5x = 8x + -11

Reorder the terms:
-4 + 5x = -11 + 8x

Solving
-4 + 5x = -11 + 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.
-4 + 5x + -8x = -11 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x = -11 + 0
-4 + -3x = -11

Add '4' to each side of the equation.
-4 + 4 + -3x = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -11 + 4
-3x = -11 + 4

Combine like terms: -11 + 4 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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