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

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


Simplifying
3x + -6 = 8(-2x + 3)

Reorder the terms:
-6 + 3x = 8(-2x + 3)

Reorder the terms:
-6 + 3x = 8(3 + -2x)
-6 + 3x = (3 * 8 + -2x * 8)
-6 + 3x = (24 + -16x)

Solving
-6 + 3x = 24 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-6 + 3x + 16x = 24 + -16x + 16x

Combine like terms: 3x + 16x = 19x
-6 + 19x = 24 + -16x + 16x

Combine like terms: -16x + 16x = 0
-6 + 19x = 24 + 0
-6 + 19x = 24

Add '6' to each side of the equation.
-6 + 6 + 19x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 19x = 24 + 6
19x = 24 + 6

Combine like terms: 24 + 6 = 30
19x = 30

Divide each side by '19'.
x = 1.578947368

Simplifying
x = 1.578947368

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