0.3(x-1)+0.4(x-2)=7

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Solution for 0.3(x-1)+0.4(x-2)=7 equation: 


Simplifying
0.3(x + -1) + 0.4(x + -2) = 7

Reorder the terms:
0.3(-1 + x) + 0.4(x + -2) = 7
(-1 * 0.3 + x * 0.3) + 0.4(x + -2) = 7
(-0.3 + 0.3x) + 0.4(x + -2) = 7

Reorder the terms:
-0.3 + 0.3x + 0.4(-2 + x) = 7
-0.3 + 0.3x + (-2 * 0.4 + x * 0.4) = 7
-0.3 + 0.3x + (-0.8 + 0.4x) = 7

Reorder the terms:
-0.3 + -0.8 + 0.3x + 0.4x = 7

Combine like terms: -0.3 + -0.8 = -1.1
-1.1 + 0.3x + 0.4x = 7

Combine like terms: 0.3x + 0.4x = 0.7x
-1.1 + 0.7x = 7

Solving
-1.1 + 0.7x = 7

Solving for variable 'x'.

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

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 0.7x = 7 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 0.7x = 7 + 1.1
0.7x = 7 + 1.1

Combine like terms: 7 + 1.1 = 8.1
0.7x = 8.1

Divide each side by '0.7'.
x = 11.57142857

Simplifying
x = 11.57142857

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