0.4(5+2x)-0.5=(0.3x+0.7)

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Solution for 0.4(5+2x)-0.5=(0.3x+0.7) equation: 


Simplifying
0.4(5 + 2x) + -0.5 = (0.3x + 0.7)
(5 * 0.4 + 2x * 0.4) + -0.5 = (0.3x + 0.7)
(2 + 0.8x) + -0.5 = (0.3x + 0.7)

Reorder the terms:
2 + -0.5 + 0.8x = (0.3x + 0.7)

Combine like terms: 2 + -0.5 = 1.5
1.5 + 0.8x = (0.3x + 0.7)

Reorder the terms:
1.5 + 0.8x = (0.7 + 0.3x)

Remove parenthesis around (0.7 + 0.3x)
1.5 + 0.8x = 0.7 + 0.3x

Solving
1.5 + 0.8x = 0.7 + 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.
1.5 + 0.8x + -0.3x = 0.7 + 0.3x + -0.3x

Combine like terms: 0.8x + -0.3x = 0.5x
1.5 + 0.5x = 0.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.5 + 0.5x = 0.7 + 0.0
1.5 + 0.5x = 0.7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5x = 0.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x = 0.7 + -1.5
0.5x = 0.7 + -1.5

Combine like terms: 0.7 + -1.5 = -0.8
0.5x = -0.8

Divide each side by '0.5'.
x = -1.6

Simplifying
x = -1.6

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