1.60(x-5.70)=7.80(x-1.10)

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Solution for 1.60(x-5.70)=7.80(x-1.10) equation: 


Simplifying
1.60(x + -5.70) = 7.80(x + -1.10)

Reorder the terms:
1.60(-5.70 + x) = 7.80(x + -1.10)
(-5.70 * 1.60 + x * 1.60) = 7.80(x + -1.10)
(-9.12 + 1.60x) = 7.80(x + -1.10)

Reorder the terms:
-9.12 + 1.60x = 7.80(-1.10 + x)
-9.12 + 1.60x = (-1.10 * 7.80 + x * 7.80)
-9.12 + 1.60x = (-8.58 + 7.80x)

Solving
-9.12 + 1.60x = -8.58 + 7.80x

Solving for variable 'x'.

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

Add '-7.80x' to each side of the equation.
-9.12 + 1.60x + -7.80x = -8.58 + 7.80x + -7.80x

Combine like terms: 1.60x + -7.80x = -6.2x
-9.12 + -6.2x = -8.58 + 7.80x + -7.80x

Combine like terms: 7.80x + -7.80x = 0.00
-9.12 + -6.2x = -8.58 + 0.00
-9.12 + -6.2x = -8.58

Add '9.12' to each side of the equation.
-9.12 + 9.12 + -6.2x = -8.58 + 9.12

Combine like terms: -9.12 + 9.12 = 0.00
0.00 + -6.2x = -8.58 + 9.12
-6.2x = -8.58 + 9.12

Combine like terms: -8.58 + 9.12 = 0.54
-6.2x = 0.54

Divide each side by '-6.2'.
x = -0.08709677419

Simplifying
x = -0.08709677419

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