0.3(x-7)=0.8(x-2)

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Solution for 0.3(x-7)=0.8(x-2) equation: 


Simplifying
0.3(x + -7) = 0.8(x + -2)

Reorder the terms:
0.3(-7 + x) = 0.8(x + -2)
(-7 * 0.3 + x * 0.3) = 0.8(x + -2)
(-2.1 + 0.3x) = 0.8(x + -2)

Reorder the terms:
-2.1 + 0.3x = 0.8(-2 + x)
-2.1 + 0.3x = (-2 * 0.8 + x * 0.8)
-2.1 + 0.3x = (-1.6 + 0.8x)

Solving
-2.1 + 0.3x = -1.6 + 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.
-2.1 + 0.3x + -0.8x = -1.6 + 0.8x + -0.8x

Combine like terms: 0.3x + -0.8x = -0.5x
-2.1 + -0.5x = -1.6 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-2.1 + -0.5x = -1.6 + 0.0
-2.1 + -0.5x = -1.6

Add '2.1' to each side of the equation.
-2.1 + 2.1 + -0.5x = -1.6 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + -0.5x = -1.6 + 2.1
-0.5x = -1.6 + 2.1

Combine like terms: -1.6 + 2.1 = 0.5
-0.5x = 0.5

Divide each side by '-0.5'.
x = -1

Simplifying
x = -1

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