3x-4-5x+3=x-7+10

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Solution for 3x-4-5x+3=x-7+10 equation: 


Simplifying
3x + -4 + -5x + 3 = x + -7 + 10

Reorder the terms:
-4 + 3 + 3x + -5x = x + -7 + 10

Combine like terms: -4 + 3 = -1
-1 + 3x + -5x = x + -7 + 10

Combine like terms: 3x + -5x = -2x
-1 + -2x = x + -7 + 10

Reorder the terms:
-1 + -2x = -7 + 10 + x

Combine like terms: -7 + 10 = 3
-1 + -2x = 3 + x

Solving
-1 + -2x = 3 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
-1 + -3x = 3 + 0
-1 + -3x = 3

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

Combine like terms: -1 + 1 = 0
0 + -3x = 3 + 1
-3x = 3 + 1

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

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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