explanation;
Solution for <em>2x+1=5x-5</em> equation
Simplifying
<em>2x + 1 = 5x + -5</em>
Reorder the terms:
<em>1 + 2x = 5x + -5</em>
Reorder the terms:
<em>1 + 2x = -5 + 5x</em>
Solving
<em>1 + 2x = -5 + 5x
</em>
Solving for variable<em> 'x'.
</em>
Move all terms containing x to the left, all other terms to the right.
Add <em>'-5x'</em> to each side of the equation.
<em>1 + 2x + -5x = -5 + 5x + -5x
</em>
Combine like terms: <em>2x + -5x = -3x
</em>
<em>1 + -3x = -5 + 5x + -5x
</em>
Combine like terms: <em>5x + -5x = 0
</em>
<em>1 + -3x = -5 + 0
</em>
<em>1 + -3x = -5
</em>
Add '-1' to each side of the equation.
<em>1 + -1 + -3x = -5 + -1
</em>
Combine like terms: <em>1 + -1 = 0
</em>
<em>0 + -3x = -5 + -1
</em>
<em>-3x = -5 + -1
</em>
Combine like terms: <em>-5 + -1 = -6
</em>
<em>-3x = -6
</em>
Divide each side by <em>'-3'.
</em>
<em>x = 2
</em>
Simplifying
<em>x = 2</em>
</h3>