0.5x-0.7(7-4)=-0.6(x-8)

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Solution for 0.5x-0.7(7-4)=-0.6(x-8) equation: 


Simplifying
0.5x + -0.7(7 + -4) = -0.6(x + -8)

Combine like terms: 7 + -4 = 3
0.5x + -0.7(3) = -0.6(x + -8)

Multiply -0.7 * 3
0.5x + -2.1 = -0.6(x + -8)

Reorder the terms:
-2.1 + 0.5x = -0.6(x + -8)

Reorder the terms:
-2.1 + 0.5x = -0.6(-8 + x)
-2.1 + 0.5x = (-8 * -0.6 + x * -0.6)
-2.1 + 0.5x = (4.8 + -0.6x)

Solving
-2.1 + 0.5x = 4.8 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-2.1 + 0.5x + 0.6x = 4.8 + -0.6x + 0.6x

Combine like terms: 0.5x + 0.6x = 1.1x
-2.1 + 1.1x = 4.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-2.1 + 1.1x = 4.8 + 0.0
-2.1 + 1.1x = 4.8

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 1.1x = 4.8 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 1.1x = 4.8 + 2.1
1.1x = 4.8 + 2.1

Combine like terms: 4.8 + 2.1 = 6.9
1.1x = 6.9

Divide each side by '1.1'.
x = 6.272727273

Simplifying
x = 6.272727273

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