.7(x-6)=.4x+5-3+.8x

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Solution for .7(x-6)=.4x+5-3+.8x equation: 


Simplifying
0.7(x + -6) = 0.4x + 5 + -3 + 0.8x

Reorder the terms:
0.7(-6 + x) = 0.4x + 5 + -3 + 0.8x
(-6 * 0.7 + x * 0.7) = 0.4x + 5 + -3 + 0.8x
(-4.2 + 0.7x) = 0.4x + 5 + -3 + 0.8x

Reorder the terms:
-4.2 + 0.7x = 5 + -3 + 0.4x + 0.8x

Combine like terms: 5 + -3 = 2
-4.2 + 0.7x = 2 + 0.4x + 0.8x

Combine like terms: 0.4x + 0.8x = 1.2x
-4.2 + 0.7x = 2 + 1.2x

Solving
-4.2 + 0.7x = 2 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-4.2 + 0.7x + -1.2x = 2 + 1.2x + -1.2x

Combine like terms: 0.7x + -1.2x = -0.5x
-4.2 + -0.5x = 2 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-4.2 + -0.5x = 2 + 0.0
-4.2 + -0.5x = 2

Add '4.2' to each side of the equation.
-4.2 + 4.2 + -0.5x = 2 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -0.5x = 2 + 4.2
-0.5x = 2 + 4.2

Combine like terms: 2 + 4.2 = 6.2
-0.5x = 6.2

Divide each side by '-0.5'.
x = -12.4

Simplifying
x = -12.4

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