1.80(x-5.90)=7.60(x-1.0)

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Solution for 1.80(x-5.90)=7.60(x-1.0) equation:


Simplifying
1.80(x + -5.90) = 7.60(x + -1.0)

Reorder the terms:
1.80(-5.90 + x) = 7.60(x + -1.0)
(-5.90 * 1.80 + x * 1.80) = 7.60(x + -1.0)
(-10.62 + 1.80x) = 7.60(x + -1.0)

Reorder the terms:
-10.62 + 1.80x = 7.60(-1.0 + x)
-10.62 + 1.80x = (-1.0 * 7.60 + x * 7.60)
-10.62 + 1.80x = (-7.6 + 7.60x)

Solving
-10.62 + 1.80x = -7.6 + 7.60x

Solving for variable 'x'.

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

Add '-7.60x' to each side of the equation.
-10.62 + 1.80x + -7.60x = -7.6 + 7.60x + -7.60x

Combine like terms: 1.80x + -7.60x = -5.8x
-10.62 + -5.8x = -7.6 + 7.60x + -7.60x

Combine like terms: 7.60x + -7.60x = 0.00
-10.62 + -5.8x = -7.6 + 0.00
-10.62 + -5.8x = -7.6

Add '10.62' to each side of the equation.
-10.62 + 10.62 + -5.8x = -7.6 + 10.62

Combine like terms: -10.62 + 10.62 = 0.00
0.00 + -5.8x = -7.6 + 10.62
-5.8x = -7.6 + 10.62

Combine like terms: -7.6 + 10.62 = 3.02
-5.8x = 3.02

Divide each side by '-5.8'.
x = -0.5206896552

Simplifying
x = -0.5206896552

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