5(2x+1)=3(x+4)55(2x+1)=3(x+4)-5

1
Expand.
10x+5=3x+12510x+5=3x+12-5

2
Simplify  3x+1253x+12-5  to  3x+73x+7.
10x+5=3x+710x+5=3x+7

3
Subtract 55 from both sides.
10x=3x+7510x=3x+7-5

4
Simplify  3x+753x+7-5  to  3x+23x+2.
10x=3x+210x=3x+2

5
Subtract 3x3x from both sides.
10x3x=210x-3x=2

6
Simplify  10x3x10x-3x  to  7x7x.
7x=27x=2

7
Divide both sides by 77.
x=27x=\frac{2}{7}

Done

Decimal Form: 0.285714

Check Answer ▼
How can we make this solution more helpful?