13x-33=7-(2x-4)

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Solution for 13x-33=7-(2x-4) equation:


Simplifying
13x + -33 = 7 + -1(2x + -4)

Reorder the terms:
-33 + 13x = 7 + -1(2x + -4)

Reorder the terms:
-33 + 13x = 7 + -1(-4 + 2x)
-33 + 13x = 7 + (-4 * -1 + 2x * -1)
-33 + 13x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
-33 + 13x = 11 + -2x

Solving
-33 + 13x = 11 + -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.
-33 + 13x + 2x = 11 + -2x + 2x

Combine like terms: 13x + 2x = 15x
-33 + 15x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-33 + 15x = 11 + 0
-33 + 15x = 11

Add '33' to each side of the equation.
-33 + 33 + 15x = 11 + 33

Combine like terms: -33 + 33 = 0
0 + 15x = 11 + 33
15x = 11 + 33

Combine like terms: 11 + 33 = 44
15x = 44

Divide each side by '15'.
x = 2.933333333

Simplifying
x = 2.933333333

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