7(2X+3)-3(X-7)=7X+58

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Solution for 7(2X+3)-3(X-7)=7X+58 equation: 


Simplifying
7(2X + 3) + -3(X + -7) = 7X + 58

Reorder the terms:
7(3 + 2X) + -3(X + -7) = 7X + 58
(3 * 7 + 2X * 7) + -3(X + -7) = 7X + 58
(21 + 14X) + -3(X + -7) = 7X + 58

Reorder the terms:
21 + 14X + -3(-7 + X) = 7X + 58
21 + 14X + (-7 * -3 + X * -3) = 7X + 58
21 + 14X + (21 + -3X) = 7X + 58

Reorder the terms:
21 + 21 + 14X + -3X = 7X + 58

Combine like terms: 21 + 21 = 42
42 + 14X + -3X = 7X + 58

Combine like terms: 14X + -3X = 11X
42 + 11X = 7X + 58

Reorder the terms:
42 + 11X = 58 + 7X

Solving
42 + 11X = 58 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
42 + 11X + -7X = 58 + 7X + -7X

Combine like terms: 11X + -7X = 4X
42 + 4X = 58 + 7X + -7X

Combine like terms: 7X + -7X = 0
42 + 4X = 58 + 0
42 + 4X = 58

Add '-42' to each side of the equation.
42 + -42 + 4X = 58 + -42

Combine like terms: 42 + -42 = 0
0 + 4X = 58 + -42
4X = 58 + -42

Combine like terms: 58 + -42 = 16
4X = 16

Divide each side by '4'.
X = 4

Simplifying
X = 4

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