5(x+7)=3[x-(2-x)]

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Solution for 5(x+7)=3[x-(2-x)] equation:


Simplifying
5(x + 7) = 3[x + -1(2 + -1x)]

Reorder the terms:
5(7 + x) = 3[x + -1(2 + -1x)]
(7 * 5 + x * 5) = 3[x + -1(2 + -1x)]
(35 + 5x) = 3[x + -1(2 + -1x)]
35 + 5x = 3[x + (2 * -1 + -1x * -1)]
35 + 5x = 3[x + (-2 + 1x)]

Reorder the terms:
35 + 5x = 3[-2 + x + 1x]

Combine like terms: x + 1x = 2x
35 + 5x = 3[-2 + 2x]
35 + 5x = [-2 * 3 + 2x * 3]
35 + 5x = [-6 + 6x]

Solving
35 + 5x = -6 + 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.
35 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
35 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -1x = -6 + 0
35 + -1x = -6

Add '-35' to each side of the equation.
35 + -35 + -1x = -6 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = -6 + -35
-1x = -6 + -35

Combine like terms: -6 + -35 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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