0.4(x-2.8)=7-(x+3.15)

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Solution for 0.4(x-2.8)=7-(x+3.15) equation: 


Simplifying
0.4(x + -2.8) = 7 + -1(x + 3.15)

Reorder the terms:
0.4(-2.8 + x) = 7 + -1(x + 3.15)
(-2.8 * 0.4 + x * 0.4) = 7 + -1(x + 3.15)
(-1.12 + 0.4x) = 7 + -1(x + 3.15)

Reorder the terms:
-1.12 + 0.4x = 7 + -1(3.15 + x)
-1.12 + 0.4x = 7 + (3.15 * -1 + x * -1)
-1.12 + 0.4x = 7 + (-3.15 + -1x)

Combine like terms: 7 + -3.15 = 3.85
-1.12 + 0.4x = 3.85 + -1x

Solving
-1.12 + 0.4x = 3.85 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1.12 + 0.4x + x = 3.85 + -1x + x

Combine like terms: 0.4x + x = 1.4x
-1.12 + 1.4x = 3.85 + -1x + x

Combine like terms: -1x + x = 0
-1.12 + 1.4x = 3.85 + 0
-1.12 + 1.4x = 3.85

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 1.4x = 3.85 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 1.4x = 3.85 + 1.12
1.4x = 3.85 + 1.12

Combine like terms: 3.85 + 1.12 = 4.97
1.4x = 4.97

Divide each side by '1.4'.
x = 3.55

Simplifying
x = 3.55

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