.07(4x+10+5.30)=1.08(4x+5+8.60)

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Solution for .07(4x+10+5.30)=1.08(4x+5+8.60) equation:


Simplifying
0.07(4x + 10 + 5.30) = 1.08(4x + 5 + 8.60)

Reorder the terms:
0.07(10 + 5.30 + 4x) = 1.08(4x + 5 + 8.60)

Combine like terms: 10 + 5.30 = 15.3
0.07(15.3 + 4x) = 1.08(4x + 5 + 8.60)
(15.3 * 0.07 + 4x * 0.07) = 1.08(4x + 5 + 8.60)
(1.071 + 0.28x) = 1.08(4x + 5 + 8.60)

Reorder the terms:
1.071 + 0.28x = 1.08(5 + 8.60 + 4x)

Combine like terms: 5 + 8.60 = 13.6
1.071 + 0.28x = 1.08(13.6 + 4x)
1.071 + 0.28x = (13.6 * 1.08 + 4x * 1.08)
1.071 + 0.28x = (14.688 + 4.32x)

Solving
1.071 + 0.28x = 14.688 + 4.32x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4.32x' to each side of the equation.
1.071 + 0.28x + -4.32x = 14.688 + 4.32x + -4.32x

Combine like terms: 0.28x + -4.32x = -4.04x
1.071 + -4.04x = 14.688 + 4.32x + -4.32x

Combine like terms: 4.32x + -4.32x = 0.00
1.071 + -4.04x = 14.688 + 0.00
1.071 + -4.04x = 14.688

Add '-1.071' to each side of the equation.
1.071 + -1.071 + -4.04x = 14.688 + -1.071

Combine like terms: 1.071 + -1.071 = 0.000
0.000 + -4.04x = 14.688 + -1.071
-4.04x = 14.688 + -1.071

Combine like terms: 14.688 + -1.071 = 13.617
-4.04x = 13.617

Divide each side by '-4.04'.
x = -3.370544554

Simplifying
x = -3.370544554

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