0.5(x-7)=0.8(x-4)

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Solution for 0.5(x-7)=0.8(x-4) equation: 


Simplifying
0.5(x + -7) = 0.8(x + -4)

Reorder the terms:
0.5(-7 + x) = 0.8(x + -4)
(-7 * 0.5 + x * 0.5) = 0.8(x + -4)
(-3.5 + 0.5x) = 0.8(x + -4)

Reorder the terms:
-3.5 + 0.5x = 0.8(-4 + x)
-3.5 + 0.5x = (-4 * 0.8 + x * 0.8)
-3.5 + 0.5x = (-3.2 + 0.8x)

Solving
-3.5 + 0.5x = -3.2 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-3.5 + 0.5x + -0.8x = -3.2 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
-3.5 + -0.3x = -3.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-3.5 + -0.3x = -3.2 + 0.0
-3.5 + -0.3x = -3.2

Add '3.5' to each side of the equation.
-3.5 + 3.5 + -0.3x = -3.2 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + -0.3x = -3.2 + 3.5
-0.3x = -3.2 + 3.5

Combine like terms: -3.2 + 3.5 = 0.3
-0.3x = 0.3

Divide each side by '-0.3'.
x = -1

Simplifying
x = -1

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