7.6(x-1)=-0.4x+32.4

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Solution for 7.6(x-1)=-0.4x+32.4 equation:


Simplifying
7.6(x + -1) = -0.4x + 32.4

Reorder the terms:
7.6(-1 + x) = -0.4x + 32.4
(-1 * 7.6 + x * 7.6) = -0.4x + 32.4
(-7.6 + 7.6x) = -0.4x + 32.4

Reorder the terms:
-7.6 + 7.6x = 32.4 + -0.4x

Solving
-7.6 + 7.6x = 32.4 + -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.
-7.6 + 7.6x + 0.4x = 32.4 + -0.4x + 0.4x

Combine like terms: 7.6x + 0.4x = 8x
-7.6 + 8x = 32.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-7.6 + 8x = 32.4 + 0.0
-7.6 + 8x = 32.4

Add '7.6' to each side of the equation.
-7.6 + 7.6 + 8x = 32.4 + 7.6

Combine like terms: -7.6 + 7.6 = 0.0
0.0 + 8x = 32.4 + 7.6
8x = 32.4 + 7.6

Combine like terms: 32.4 + 7.6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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