.4(5+2x)-0.5=3(0.3x+0.7)

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Solution for .4(5+2x)-0.5=3(0.3x+0.7) equation: 


Simplifying
0.4(5 + 2x) + -0.5 = 3(0.3x + 0.7)
(5 * 0.4 + 2x * 0.4) + -0.5 = 3(0.3x + 0.7)
(2 + 0.8x) + -0.5 = 3(0.3x + 0.7)

Reorder the terms:
2 + -0.5 + 0.8x = 3(0.3x + 0.7)

Combine like terms: 2 + -0.5 = 1.5
1.5 + 0.8x = 3(0.3x + 0.7)

Reorder the terms:
1.5 + 0.8x = 3(0.7 + 0.3x)
1.5 + 0.8x = (0.7 * 3 + 0.3x * 3)
1.5 + 0.8x = (2.1 + 0.9x)

Solving
1.5 + 0.8x = 2.1 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
1.5 + 0.8x + -0.9x = 2.1 + 0.9x + -0.9x

Combine like terms: 0.8x + -0.9x = -0.1x
1.5 + -0.1x = 2.1 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
1.5 + -0.1x = 2.1 + 0.0
1.5 + -0.1x = 2.1

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.1x = 2.1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1x = 2.1 + -1.5
-0.1x = 2.1 + -1.5

Combine like terms: 2.1 + -1.5 = 0.6
-0.1x = 0.6

Divide each side by '-0.1'.
x = -6

Simplifying
x = -6

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