5-1.6(x+2)=2(x-1.3)-0.1

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Solution for 5-1.6(x+2)=2(x-1.3)-0.1 equation:


Simplifying
5 + -1.6(x + 2) = 2(x + -1.3) + -0.1

Reorder the terms:
5 + -1.6(2 + x) = 2(x + -1.3) + -0.1
5 + (2 * -1.6 + x * -1.6) = 2(x + -1.3) + -0.1
5 + (-3.2 + -1.6x) = 2(x + -1.3) + -0.1

Combine like terms: 5 + -3.2 = 1.8
1.8 + -1.6x = 2(x + -1.3) + -0.1

Reorder the terms:
1.8 + -1.6x = 2(-1.3 + x) + -0.1
1.8 + -1.6x = (-1.3 * 2 + x * 2) + -0.1
1.8 + -1.6x = (-2.6 + 2x) + -0.1

Reorder the terms:
1.8 + -1.6x = -2.6 + -0.1 + 2x

Combine like terms: -2.6 + -0.1 = -2.7
1.8 + -1.6x = -2.7 + 2x

Solving
1.8 + -1.6x = -2.7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.8 + -1.6x + -2x = -2.7 + 2x + -2x

Combine like terms: -1.6x + -2x = -3.6x
1.8 + -3.6x = -2.7 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.8 + -3.6x = -2.7 + 0
1.8 + -3.6x = -2.7

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -3.6x = -2.7 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -3.6x = -2.7 + -1.8
-3.6x = -2.7 + -1.8

Combine like terms: -2.7 + -1.8 = -4.5
-3.6x = -4.5

Divide each side by '-3.6'.
x = 1.25

Simplifying
x = 1.25

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