3x-4+2x-17=3x-4-13+4

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Solution for 3x-4+2x-17=3x-4-13+4 equation:


Simplifying
3x + -4 + 2x + -17 = 3x + -4 + -13 + 4

Reorder the terms:
-4 + -17 + 3x + 2x = 3x + -4 + -13 + 4

Combine like terms: -4 + -17 = -21
-21 + 3x + 2x = 3x + -4 + -13 + 4

Combine like terms: 3x + 2x = 5x
-21 + 5x = 3x + -4 + -13 + 4

Reorder the terms:
-21 + 5x = -4 + -13 + 4 + 3x

Combine like terms: -4 + -13 = -17
-21 + 5x = -17 + 4 + 3x

Combine like terms: -17 + 4 = -13
-21 + 5x = -13 + 3x

Solving
-21 + 5x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-21 + 5x + -3x = -13 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-21 + 2x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 2x = -13 + 0
-21 + 2x = -13

Add '21' to each side of the equation.
-21 + 21 + 2x = -13 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -13 + 21
2x = -13 + 21

Combine like terms: -13 + 21 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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