7.6(x-2)=-0.4x+32.7

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Solution for 7.6(x-2)=-0.4x+32.7 equation: 


Simplifying
7.6(x + -2) = -0.4x + 32.7

Reorder the terms:
7.6(-2 + x) = -0.4x + 32.7
(-2 * 7.6 + x * 7.6) = -0.4x + 32.7
(-15.2 + 7.6x) = -0.4x + 32.7

Reorder the terms:
-15.2 + 7.6x = 32.7 + -0.4x

Solving
-15.2 + 7.6x = 32.7 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-15.2 + 7.6x + 0.4x = 32.7 + -0.4x + 0.4x

Combine like terms: 7.6x + 0.4x = 8x
-15.2 + 8x = 32.7 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-15.2 + 8x = 32.7 + 0.0
-15.2 + 8x = 32.7

Add '15.2' to each side of the equation.
-15.2 + 15.2 + 8x = 32.7 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + 8x = 32.7 + 15.2
8x = 32.7 + 15.2

Combine like terms: 32.7 + 15.2 = 47.9
8x = 47.9

Divide each side by '8'.
x = 5.9875

Simplifying
x = 5.9875

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