2x-4=-5x+3x+10

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Solution for 2x-4=-5x+3x+10 equation:


Simplifying
2x + -4 = -5x + 3x + 10

Reorder the terms:
-4 + 2x = -5x + 3x + 10

Reorder the terms:
-4 + 2x = 10 + -5x + 3x

Combine like terms: -5x + 3x = -2x
-4 + 2x = 10 + -2x

Solving
-4 + 2x = 10 + -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.
-4 + 2x + 2x = 10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-4 + 4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 4x = 10 + 0
-4 + 4x = 10

Add '4' to each side of the equation.
-4 + 4 + 4x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 10 + 4
4x = 10 + 4

Combine like terms: 10 + 4 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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