7(-3x+2)=8(3w-2)

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Solution for 7(-3x+2)=8(3w-2) equation:


Simplifying
7(-3x + 2) = 8(3w + -2)

Reorder the terms:
7(2 + -3x) = 8(3w + -2)
(2 * 7 + -3x * 7) = 8(3w + -2)
(14 + -21x) = 8(3w + -2)

Reorder the terms:
14 + -21x = 8(-2 + 3w)
14 + -21x = (-2 * 8 + 3w * 8)
14 + -21x = (-16 + 24w)

Solving
14 + -21x = -16 + 24w

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -21x = -16 + -14 + 24w

Combine like terms: 14 + -14 = 0
0 + -21x = -16 + -14 + 24w
-21x = -16 + -14 + 24w

Combine like terms: -16 + -14 = -30
-21x = -30 + 24w

Divide each side by '-21'.
x = 1.428571429 + -1.142857143w

Simplifying
x = 1.428571429 + -1.142857143w

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