8(x-0.5)-(3x-2)=5*1.3-1.5(11-6X)

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Solution for 8(x-0.5)-(3x-2)=5*1.3-1.5(11-6X) equation:


Simplifying
8(x + -0.5) + -1(3x + -2) = 5 * 1.3 + -1.5(11 + -6X)

Reorder the terms:
8(-0.5 + x) + -1(3x + -2) = 5 * 1.3 + -1.5(11 + -6X)
(-0.5 * 8 + x * 8) + -1(3x + -2) = 5 * 1.3 + -1.5(11 + -6X)
(-4 + 8x) + -1(3x + -2) = 5 * 1.3 + -1.5(11 + -6X)

Reorder the terms:
-4 + 8x + -1(-2 + 3x) = 5 * 1.3 + -1.5(11 + -6X)
-4 + 8x + (-2 * -1 + 3x * -1) = 5 * 1.3 + -1.5(11 + -6X)
-4 + 8x + (2 + -3x) = 5 * 1.3 + -1.5(11 + -6X)

Reorder the terms:
-4 + 2 + 8x + -3x = 5 * 1.3 + -1.5(11 + -6X)

Combine like terms: -4 + 2 = -2
-2 + 8x + -3x = 5 * 1.3 + -1.5(11 + -6X)

Combine like terms: 8x + -3x = 5x
-2 + 5x = 5 * 1.3 + -1.5(11 + -6X)

Multiply 5 * 1.3
-2 + 5x = 6.5 + -1.5(11 + -6X)
-2 + 5x = 6.5 + (11 * -1.5 + -6X * -1.5)
-2 + 5x = 6.5 + (-16.5 + 9X)

Combine like terms: 6.5 + -16.5 = -10
-2 + 5x = -10 + 9X

Solving
-2 + 5x = -10 + 9X

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = -10 + 2 + 9X

Combine like terms: -2 + 2 = 0
0 + 5x = -10 + 2 + 9X
5x = -10 + 2 + 9X

Combine like terms: -10 + 2 = -8
5x = -8 + 9X

Divide each side by '5'.
x = -1.6 + 1.8X

Simplifying
x = -1.6 + 1.8X

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