4(7-2x)=27-3(2x+1)

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Solution for 4(7-2x)=27-3(2x+1) equation:


Simplifying
4(7 + -2x) = 27 + -3(2x + 1)
(7 * 4 + -2x * 4) = 27 + -3(2x + 1)
(28 + -8x) = 27 + -3(2x + 1)

Reorder the terms:
28 + -8x = 27 + -3(1 + 2x)
28 + -8x = 27 + (1 * -3 + 2x * -3)
28 + -8x = 27 + (-3 + -6x)

Combine like terms: 27 + -3 = 24
28 + -8x = 24 + -6x

Solving
28 + -8x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
28 + -8x + 6x = 24 + -6x + 6x

Combine like terms: -8x + 6x = -2x
28 + -2x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + -2x = 24 + 0
28 + -2x = 24

Add '-28' to each side of the equation.
28 + -28 + -2x = 24 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 24 + -28
-2x = 24 + -28

Combine like terms: 24 + -28 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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