2x+3(2x-3)-4=33

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Solution for 2x+3(2x-3)-4=33 equation:


Simplifying
2x + 3(2x + -3) + -4 = 33

Reorder the terms:
2x + 3(-3 + 2x) + -4 = 33
2x + (-3 * 3 + 2x * 3) + -4 = 33
2x + (-9 + 6x) + -4 = 33

Reorder the terms:
-9 + -4 + 2x + 6x = 33

Combine like terms: -9 + -4 = -13
-13 + 2x + 6x = 33

Combine like terms: 2x + 6x = 8x
-13 + 8x = 33

Solving
-13 + 8x = 33

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 33 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 33 + 13
8x = 33 + 13

Combine like terms: 33 + 13 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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