(2x+1)+7.8=4.6-(2x+1)+7.8=-4.6

1
Remove parentheses.
2x1+7.8=4.6-2x-1+7.8=-4.6

2
Simplify  2x1+7.8-2x-1+7.8  to  2x+6.8-2x+6.8.
2x+6.8=4.6-2x+6.8=-4.6

3
Subtract 6.86.8 from both sides.
2x=4.66.8-2x=-4.6-6.8

4
Simplify  4.66.8-4.6-6.8  to  11.4-11.4.
2x=11.4-2x=-11.4

5
Divide both sides by 2-2.
x=11.42x=\frac{-11.4}{-2}

6
Simplify  11.42\frac{-11.4}{-2}  to  5.75.7.
x=5.7x=5.7

Done

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