Calculate: (2x+5)+(x+1)=3(x-1)+6

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Expression: $\left( 2x+5 \right)+\left( x+1 \right)=3\left( x-1 \right)+6$

Remove unnecessary parentheses

$2x+5+\left( x+1 \right)=3\left( x-1 \right)+6$

When there is a $+$ in front of an expression in parentheses, the expression remains the same

$2x+5+x+1=3\left( x-1 \right)+6$

Distribute $3$ through the parentheses

$2x+5+x+1=3x-3+6$

Collect like terms

$3x+5+1=3x-3+6$

Add the numbers

$3x+6=3x-3+6$

Calculate the sum

$3x+6=3x+3$

Cancel equal terms on both sides of the equation

$6=3$

The statement is false for any value of $x$

$∅$

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