6.1x-2.1(x-1)=7.8

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Solution for 6.1x-2.1(x-1)=7.8 equation: 


Simplifying
6.1x + -2.1(x + -1) = 7.8

Reorder the terms:
6.1x + -2.1(-1 + x) = 7.8
6.1x + (-1 * -2.1 + x * -2.1) = 7.8
6.1x + (2.1 + -2.1x) = 7.8

Reorder the terms:
2.1 + 6.1x + -2.1x = 7.8

Combine like terms: 6.1x + -2.1x = 4x
2.1 + 4x = 7.8

Solving
2.1 + 4x = 7.8

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 4x = 7.8 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 4x = 7.8 + -2.1
4x = 7.8 + -2.1

Combine like terms: 7.8 + -2.1 = 5.7
4x = 5.7

Divide each side by '4'.
x = 1.425

Simplifying
x = 1.425

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