8x+4(-x+3)=1.5(6-2x)

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Solution for 8x+4(-x+3)=1.5(6-2x) equation:


Simplifying
8x + 4(-1x + 3) = 1.5(6 + -2x)

Reorder the terms:
8x + 4(3 + -1x) = 1.5(6 + -2x)
8x + (3 * 4 + -1x * 4) = 1.5(6 + -2x)
8x + (12 + -4x) = 1.5(6 + -2x)

Reorder the terms:
12 + 8x + -4x = 1.5(6 + -2x)

Combine like terms: 8x + -4x = 4x
12 + 4x = 1.5(6 + -2x)
12 + 4x = (6 * 1.5 + -2x * 1.5)
12 + 4x = (9 + -3x)

Solving
12 + 4x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + 4x + 3x = 9 + -3x + 3x

Combine like terms: 4x + 3x = 7x
12 + 7x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 7x = 9 + 0
12 + 7x = 9

Add '-12' to each side of the equation.
12 + -12 + 7x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 9 + -12
7x = 9 + -12

Combine like terms: 9 + -12 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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