.3(2x+5)+2.3=.7(2x-6)

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Solution for .3(2x+5)+2.3=.7(2x-6) equation: 


Simplifying
0.3(2x + 5) + 2.3 = 0.7(2x + -6)

Reorder the terms:
0.3(5 + 2x) + 2.3 = 0.7(2x + -6)
(5 * 0.3 + 2x * 0.3) + 2.3 = 0.7(2x + -6)
(1.5 + 0.6x) + 2.3 = 0.7(2x + -6)

Reorder the terms:
1.5 + 2.3 + 0.6x = 0.7(2x + -6)

Combine like terms: 1.5 + 2.3 = 3.8
3.8 + 0.6x = 0.7(2x + -6)

Reorder the terms:
3.8 + 0.6x = 0.7(-6 + 2x)
3.8 + 0.6x = (-6 * 0.7 + 2x * 0.7)
3.8 + 0.6x = (-4.2 + 1.4x)

Solving
3.8 + 0.6x = -4.2 + 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.
3.8 + 0.6x + -1.4x = -4.2 + 1.4x + -1.4x

Combine like terms: 0.6x + -1.4x = -0.8x
3.8 + -0.8x = -4.2 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
3.8 + -0.8x = -4.2 + 0.0
3.8 + -0.8x = -4.2

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.8x = -4.2 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.8x = -4.2 + -3.8
-0.8x = -4.2 + -3.8

Combine like terms: -4.2 + -3.8 = -8
-0.8x = -8

Divide each side by '-0.8'.
x = 10

Simplifying
x = 10

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