Math  /  Algebra

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Solve for xx : 0.3=3(4x+5.2)2x-0.3=-3(-4 x+5.2)-2 x Answer Attempt 4 out of 4

Studdy Solution
Verify the solution by substituting x=1.53 x = 1.53 back into the original equation:
0.3=3(4(1.53)+5.2)2(1.53) -0.3 = -3(-4(1.53) + 5.2) - 2(1.53)
Calculate inside the parentheses:
4(1.53)=6.12 -4(1.53) = -6.12
6.12+5.2=0.92 -6.12 + 5.2 = -0.92
Substitute back:
0.3=3(0.92)3.06 -0.3 = -3(-0.92) - 3.06
Calculate each term:
3(0.92)=2.76 -3(-0.92) = 2.76
2.763.06=0.3 2.76 - 3.06 = -0.3
Both sides are equal, confirming our solution.
The solution is:
1.53 \boxed{1.53}

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