.5(2-3x)=4.5-.1(x+7)

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Solution for .5(2-3x)=4.5-.1(x+7) equation: 


Simplifying
0.5(2 + -3x) = 4.5 + -0.1(x + 7)
(2 * 0.5 + -3x * 0.5) = 4.5 + -0.1(x + 7)
(1 + -1.5x) = 4.5 + -0.1(x + 7)

Reorder the terms:
1 + -1.5x = 4.5 + -0.1(7 + x)
1 + -1.5x = 4.5 + (7 * -0.1 + x * -0.1)
1 + -1.5x = 4.5 + (-0.7 + -0.1x)

Combine like terms: 4.5 + -0.7 = 3.8
1 + -1.5x = 3.8 + -0.1x

Solving
1 + -1.5x = 3.8 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
1 + -1.5x + 0.1x = 3.8 + -0.1x + 0.1x

Combine like terms: -1.5x + 0.1x = -1.4x
1 + -1.4x = 3.8 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
1 + -1.4x = 3.8 + 0.0
1 + -1.4x = 3.8

Add '-1' to each side of the equation.
1 + -1 + -1.4x = 3.8 + -1

Combine like terms: 1 + -1 = 0
0 + -1.4x = 3.8 + -1
-1.4x = 3.8 + -1

Combine like terms: 3.8 + -1 = 2.8
-1.4x = 2.8

Divide each side by '-1.4'.
x = -2

Simplifying
x = -2

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