0.7(4x+5)+3(-0.6x-2.1)=8.5

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Solution for 0.7(4x+5)+3(-0.6x-2.1)=8.5 equation: 


Simplifying
0.7(4x + 5) + 3(-0.6x + -2.1) = 8.5

Reorder the terms:
0.7(5 + 4x) + 3(-0.6x + -2.1) = 8.5
(5 * 0.7 + 4x * 0.7) + 3(-0.6x + -2.1) = 8.5
(3.5 + 2.8x) + 3(-0.6x + -2.1) = 8.5

Reorder the terms:
3.5 + 2.8x + 3(-2.1 + -0.6x) = 8.5
3.5 + 2.8x + (-2.1 * 3 + -0.6x * 3) = 8.5
3.5 + 2.8x + (-6.3 + -1.8x) = 8.5

Reorder the terms:
3.5 + -6.3 + 2.8x + -1.8x = 8.5

Combine like terms: 3.5 + -6.3 = -2.8
-2.8 + 2.8x + -1.8x = 8.5

Combine like terms: 2.8x + -1.8x = 1x
-2.8 + 1x = 8.5

Solving
-2.8 + 1x = 8.5

Solving for variable 'x'.

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

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 1x = 8.5 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 1x = 8.5 + 2.8
1x = 8.5 + 2.8

Combine like terms: 8.5 + 2.8 = 11.3
1x = 11.3

Divide each side by '1'.
x = 11.3

Simplifying
x = 11.3

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