4x-6x+4=5x+10-3x+3

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Solution for 4x-6x+4=5x+10-3x+3 equation:


Simplifying
4x + -6x + 4 = 5x + 10 + -3x + 3

Reorder the terms:
4 + 4x + -6x = 5x + 10 + -3x + 3

Combine like terms: 4x + -6x = -2x
4 + -2x = 5x + 10 + -3x + 3

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

Combine like terms: 10 + 3 = 13
4 + -2x = 13 + 5x + -3x

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

Solving
4 + -2x = 13 + 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 = 13 + 2x + -2x

Combine like terms: -2x + -2x = -4x
4 + -4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -4x = 13 + 0
4 + -4x = 13

Add '-4' to each side of the equation.
4 + -4 + -4x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 13 + -4
-4x = 13 + -4

Combine like terms: 13 + -4 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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