0.8(5x-1000)+1.3=2.9-x

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Solution for 0.8(5x-1000)+1.3=2.9-x equation: 


Simplifying
0.8(5x + -1000) + 1.3 = 2.9 + -1x

Reorder the terms:
0.8(-1000 + 5x) + 1.3 = 2.9 + -1x
(-1000 * 0.8 + 5x * 0.8) + 1.3 = 2.9 + -1x
(-800 + 4x) + 1.3 = 2.9 + -1x

Reorder the terms:
-800 + 1.3 + 4x = 2.9 + -1x

Combine like terms: -800 + 1.3 = -798.7
-798.7 + 4x = 2.9 + -1x

Solving
-798.7 + 4x = 2.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-798.7 + 4x + x = 2.9 + -1x + x

Combine like terms: 4x + x = 5x
-798.7 + 5x = 2.9 + -1x + x

Combine like terms: -1x + x = 0
-798.7 + 5x = 2.9 + 0
-798.7 + 5x = 2.9

Add '798.7' to each side of the equation.
-798.7 + 798.7 + 5x = 2.9 + 798.7

Combine like terms: -798.7 + 798.7 = 0.0
0.0 + 5x = 2.9 + 798.7
5x = 2.9 + 798.7

Combine like terms: 2.9 + 798.7 = 801.6
5x = 801.6

Divide each side by '5'.
x = 160.32

Simplifying
x = 160.32

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