Equations can have zero, one or more solutions
The solution to the equation is x = -0.5
The equation is given as:
[tex]6.8x+9.3 = -9.4+3.4(2-5x)[/tex]
Distribute the expression
[tex]6.8x+9.3 = -9.4+3.4\times 2-3.4\times 5x[/tex]
[tex]6.8x+9.3 = -9.4+6.8-17x[/tex]
Apply addition properties
[tex]6.8x+9.3 = -2.6-17x[/tex]
Combine terms
[tex]6.8x+17x =-9.3 -2.6[/tex]
Apply addition properties
[tex]23.8x =-11.9[/tex]
Apply division properties
[tex]x =-0.5[/tex]
Hence, the solution to the equation is -0.5
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