223=-3x+7(8x-6)

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Solution for 223=-3x+7(8x-6) equation:


Simplifying
223 = -3x + 7(8x + -6)

Reorder the terms:
223 = -3x + 7(-6 + 8x)
223 = -3x + (-6 * 7 + 8x * 7)
223 = -3x + (-42 + 56x)

Reorder the terms:
223 = -42 + -3x + 56x

Combine like terms: -3x + 56x = 53x
223 = -42 + 53x

Solving
223 = -42 + 53x

Solving for variable 'x'.

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

Add '-53x' to each side of the equation.
223 + -53x = -42 + 53x + -53x

Combine like terms: 53x + -53x = 0
223 + -53x = -42 + 0
223 + -53x = -42

Add '-223' to each side of the equation.
223 + -223 + -53x = -42 + -223

Combine like terms: 223 + -223 = 0
0 + -53x = -42 + -223
-53x = -42 + -223

Combine like terms: -42 + -223 = -265
-53x = -265

Divide each side by '-53'.
x = 5

Simplifying
x = 5

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