6.7(x-1)=-0.3x+49.3

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Solution for 6.7(x-1)=-0.3x+49.3 equation: 


Simplifying
6.7(x + -1) = -0.3x + 49.3

Reorder the terms:
6.7(-1 + x) = -0.3x + 49.3
(-1 * 6.7 + x * 6.7) = -0.3x + 49.3
(-6.7 + 6.7x) = -0.3x + 49.3

Reorder the terms:
-6.7 + 6.7x = 49.3 + -0.3x

Solving
-6.7 + 6.7x = 49.3 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-6.7 + 6.7x + 0.3x = 49.3 + -0.3x + 0.3x

Combine like terms: 6.7x + 0.3x = 7x
-6.7 + 7x = 49.3 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-6.7 + 7x = 49.3 + 0.0
-6.7 + 7x = 49.3

Add '6.7' to each side of the equation.
-6.7 + 6.7 + 7x = 49.3 + 6.7

Combine like terms: -6.7 + 6.7 = 0.0
0.0 + 7x = 49.3 + 6.7
7x = 49.3 + 6.7

Combine like terms: 49.3 + 6.7 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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