x-1=0.4(x+10)

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Solution for x-1=0.4(x+10) equation:


Simplifying
x + -1 = 0.4(x + 10)

Reorder the terms:
-1 + x = 0.4(x + 10)

Reorder the terms:
-1 + x = 0.4(10 + x)
-1 + x = (10 * 0.4 + x * 0.4)
-1 + x = (4 + 0.4x)

Solving
-1 + x = 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.
-1 + x + -0.4x = 4 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
-1 + 0.6x = 4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-1 + 0.6x = 4 + 0.0
-1 + 0.6x = 4

Add '1' to each side of the equation.
-1 + 1 + 0.6x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 0.6x = 4 + 1
0.6x = 4 + 1

Combine like terms: 4 + 1 = 5
0.6x = 5

Divide each side by '0.6'.
x = 8.333333333

Simplifying
x = 8.333333333

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