0.4(x+5)=3.4+2(0.7x+0.3)

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Solution for 0.4(x+5)=3.4+2(0.7x+0.3) equation: 


Simplifying
0.4(x + 5) = 3.4 + 2(0.7x + 0.3)

Reorder the terms:
0.4(5 + x) = 3.4 + 2(0.7x + 0.3)
(5 * 0.4 + x * 0.4) = 3.4 + 2(0.7x + 0.3)
(2 + 0.4x) = 3.4 + 2(0.7x + 0.3)

Reorder the terms:
2 + 0.4x = 3.4 + 2(0.3 + 0.7x)
2 + 0.4x = 3.4 + (0.3 * 2 + 0.7x * 2)
2 + 0.4x = 3.4 + (0.6 + 1.4x)

Combine like terms: 3.4 + 0.6 = 4
2 + 0.4x = 4 + 1.4x

Solving
2 + 0.4x = 4 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
2 + 0.4x + -1.4x = 4 + 1.4x + -1.4x

Combine like terms: 0.4x + -1.4x = -1x
2 + -1x = 4 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
2 + -1x = 4 + 0.0
2 + -1x = 4

Add '-2' to each side of the equation.
2 + -2 + -1x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 4 + -2
-1x = 4 + -2

Combine like terms: 4 + -2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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