0.7(x-1)=0.3(x+16)

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Solution for 0.7(x-1)=0.3(x+16) equation: 


Simplifying
0.7(x + -1) = 0.3(x + 16)

Reorder the terms:
0.7(-1 + x) = 0.3(x + 16)
(-1 * 0.7 + x * 0.7) = 0.3(x + 16)
(-0.7 + 0.7x) = 0.3(x + 16)

Reorder the terms:
-0.7 + 0.7x = 0.3(16 + x)
-0.7 + 0.7x = (16 * 0.3 + x * 0.3)
-0.7 + 0.7x = (4.8 + 0.3x)

Solving
-0.7 + 0.7x = 4.8 + 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.
-0.7 + 0.7x + -0.3x = 4.8 + 0.3x + -0.3x

Combine like terms: 0.7x + -0.3x = 0.4x
-0.7 + 0.4x = 4.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.7 + 0.4x = 4.8 + 0.0
-0.7 + 0.4x = 4.8

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.4x = 4.8 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.4x = 4.8 + 0.7
0.4x = 4.8 + 0.7

Combine like terms: 4.8 + 0.7 = 5.5
0.4x = 5.5

Divide each side by '0.4'.
x = 13.75

Simplifying
x = 13.75

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