4x-13+17-2x-3x+21=3x-15

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Solution for 4x-13+17-2x-3x+21=3x-15 equation: 


Simplifying
4x + -13 + 17 + -2x + -3x + 21 = 3x + -15

Reorder the terms:
-13 + 17 + 21 + 4x + -2x + -3x = 3x + -15

Combine like terms: -13 + 17 = 4
4 + 21 + 4x + -2x + -3x = 3x + -15

Combine like terms: 4 + 21 = 25
25 + 4x + -2x + -3x = 3x + -15

Combine like terms: 4x + -2x = 2x
25 + 2x + -3x = 3x + -15

Combine like terms: 2x + -3x = -1x
25 + -1x = 3x + -15

Reorder the terms:
25 + -1x = -15 + 3x

Solving
25 + -1x = -15 + 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.
25 + -1x + -3x = -15 + 3x + -3x

Combine like terms: -1x + -3x = -4x
25 + -4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -4x = -15 + 0
25 + -4x = -15

Add '-25' to each side of the equation.
25 + -25 + -4x = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = -15 + -25
-4x = -15 + -25

Combine like terms: -15 + -25 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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