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

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


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

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

Combine like terms: -10 + 3 = -7
-7 + 3x = 4x + -5x + 2

Reorder the terms:
-7 + 3x = 2 + 4x + -5x

Combine like terms: 4x + -5x = -1x
-7 + 3x = 2 + -1x

Solving
-7 + 3x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-7 + 3x + x = 2 + -1x + x

Combine like terms: 3x + x = 4x
-7 + 4x = 2 + -1x + x

Combine like terms: -1x + x = 0
-7 + 4x = 2 + 0
-7 + 4x = 2

Add '7' to each side of the equation.
-7 + 7 + 4x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 2 + 7
4x = 2 + 7

Combine like terms: 2 + 7 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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