-1.6(x-18)+1.3(x+3)=x+34

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Solution for -1.6(x-18)+1.3(x+3)=x+34 equation: 


Simplifying
-1.6(x + -18) + 1.3(x + 3) = x + 34

Reorder the terms:
-1.6(-18 + x) + 1.3(x + 3) = x + 34
(-18 * -1.6 + x * -1.6) + 1.3(x + 3) = x + 34
(28.8 + -1.6x) + 1.3(x + 3) = x + 34

Reorder the terms:
28.8 + -1.6x + 1.3(3 + x) = x + 34
28.8 + -1.6x + (3 * 1.3 + x * 1.3) = x + 34
28.8 + -1.6x + (3.9 + 1.3x) = x + 34

Reorder the terms:
28.8 + 3.9 + -1.6x + 1.3x = x + 34

Combine like terms: 28.8 + 3.9 = 32.7
32.7 + -1.6x + 1.3x = x + 34

Combine like terms: -1.6x + 1.3x = -0.3x
32.7 + -0.3x = x + 34

Reorder the terms:
32.7 + -0.3x = 34 + x

Solving
32.7 + -0.3x = 34 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32.7 + -0.3x + -1x = 34 + x + -1x

Combine like terms: -0.3x + -1x = -1.3x
32.7 + -1.3x = 34 + x + -1x

Combine like terms: x + -1x = 0
32.7 + -1.3x = 34 + 0
32.7 + -1.3x = 34

Add '-32.7' to each side of the equation.
32.7 + -32.7 + -1.3x = 34 + -32.7

Combine like terms: 32.7 + -32.7 = 0.0
0.0 + -1.3x = 34 + -32.7
-1.3x = 34 + -32.7

Combine like terms: 34 + -32.7 = 1.3
-1.3x = 1.3

Divide each side by '-1.3'.
x = -1

Simplifying
x = -1

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