x+3-(4x-5)=2

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


Simplifying
x + 3 + -1(4x + -5) = 2

Reorder the terms:
x + 3 + -1(-5 + 4x) = 2
x + 3 + (-5 * -1 + 4x * -1) = 2
x + 3 + (5 + -4x) = 2

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

Combine like terms: 3 + 5 = 8
8 + x + -4x = 2

Combine like terms: x + -4x = -3x
8 + -3x = 2

Solving
8 + -3x = 2

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 2 + -8
-3x = 2 + -8

Combine like terms: 2 + -8 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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