7(x+3)=4[x-(8-x)]

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Solution for 7(x+3)=4[x-(8-x)] equation:


Simplifying
7(x + 3) = 4[x + -1(8 + -1x)]

Reorder the terms:
7(3 + x) = 4[x + -1(8 + -1x)]
(3 * 7 + x * 7) = 4[x + -1(8 + -1x)]
(21 + 7x) = 4[x + -1(8 + -1x)]
21 + 7x = 4[x + (8 * -1 + -1x * -1)]
21 + 7x = 4[x + (-8 + 1x)]

Reorder the terms:
21 + 7x = 4[-8 + x + 1x]

Combine like terms: x + 1x = 2x
21 + 7x = 4[-8 + 2x]
21 + 7x = [-8 * 4 + 2x * 4]
21 + 7x = [-32 + 8x]

Solving
21 + 7x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 7x + -8x = -32 + 8x + -8x

Combine like terms: 7x + -8x = -1x
21 + -1x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -1x = -32 + 0
21 + -1x = -32

Add '-21' to each side of the equation.
21 + -21 + -1x = -32 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -32 + -21
-1x = -32 + -21

Combine like terms: -32 + -21 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53

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