0.7x-0.2=0.4(x+7)

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Solution for 0.7x-0.2=0.4(x+7) equation: 


Simplifying
0.7x + -0.2 = 0.4(x + 7)

Reorder the terms:
-0.2 + 0.7x = 0.4(x + 7)

Reorder the terms:
-0.2 + 0.7x = 0.4(7 + x)
-0.2 + 0.7x = (7 * 0.4 + x * 0.4)
-0.2 + 0.7x = (2.8 + 0.4x)

Solving
-0.2 + 0.7x = 2.8 + 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.
-0.2 + 0.7x + -0.4x = 2.8 + 0.4x + -0.4x

Combine like terms: 0.7x + -0.4x = 0.3x
-0.2 + 0.3x = 2.8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.2 + 0.3x = 2.8 + 0.0
-0.2 + 0.3x = 2.8

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.3x = 2.8 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.3x = 2.8 + 0.2
0.3x = 2.8 + 0.2

Combine like terms: 2.8 + 0.2 = 3
0.3x = 3

Divide each side by '0.3'.
x = 10

Simplifying
x = 10

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