Answer:
[tex]x=\frac{12}{5}[/tex]
[tex]x=2.4[/tex]
Step-by-step explanation:
[tex]6x+2\left(2x-3\right)=18[/tex]
Expand 2(2x-3) by applying Distributive law:
[tex]2\times \:2x-2\times \:3[/tex]
Multiply:
[tex]2\times \:2x=4[/tex]
[tex]2\times \:3=6[/tex]
[tex]4x-6[/tex]
[tex]6x+4x-6=18[/tex]
Combine like terms:
[tex]6x+4x=10x[/tex]
[tex]10x-6=18[/tex]
Add 2 to both sides:
[tex]10x-6+6=18+6[/tex]
[tex]10x=24[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{24}{10}[/tex]
[tex]x=\frac{12}{5}[/tex]
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