.5(5-7x)=8-(4-6x)

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Solution for .5(5-7x)=8-(4-6x) equation: 


Simplifying
0.5(5 + -7x) = 8 + -1(4 + -6x)
(5 * 0.5 + -7x * 0.5) = 8 + -1(4 + -6x)
(2.5 + -3.5x) = 8 + -1(4 + -6x)
2.5 + -3.5x = 8 + (4 * -1 + -6x * -1)
2.5 + -3.5x = 8 + (-4 + 6x)

Combine like terms: 8 + -4 = 4
2.5 + -3.5x = 4 + 6x

Solving
2.5 + -3.5x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2.5 + -3.5x + -6x = 4 + 6x + -6x

Combine like terms: -3.5x + -6x = -9.5x
2.5 + -9.5x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
2.5 + -9.5x = 4 + 0
2.5 + -9.5x = 4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -9.5x = 4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -9.5x = 4 + -2.5
-9.5x = 4 + -2.5

Combine like terms: 4 + -2.5 = 1.5
-9.5x = 1.5

Divide each side by '-9.5'.
x = -0.1578947368

Simplifying
x = -0.1578947368

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