58-(6x+14)=6(x+3)+x

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Solution for 58-(6x+14)=6(x+3)+x equation:


Simplifying
58 + -1(6x + 14) = 6(x + 3) + x

Reorder the terms:
58 + -1(14 + 6x) = 6(x + 3) + x
58 + (14 * -1 + 6x * -1) = 6(x + 3) + x
58 + (-14 + -6x) = 6(x + 3) + x

Combine like terms: 58 + -14 = 44
44 + -6x = 6(x + 3) + x

Reorder the terms:
44 + -6x = 6(3 + x) + x
44 + -6x = (3 * 6 + x * 6) + x
44 + -6x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
44 + -6x = 18 + 7x

Solving
44 + -6x = 18 + 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.
44 + -6x + -7x = 18 + 7x + -7x

Combine like terms: -6x + -7x = -13x
44 + -13x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
44 + -13x = 18 + 0
44 + -13x = 18

Add '-44' to each side of the equation.
44 + -44 + -13x = 18 + -44

Combine like terms: 44 + -44 = 0
0 + -13x = 18 + -44
-13x = 18 + -44

Combine like terms: 18 + -44 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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