7(x+6)=3x-58

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Solution for 7(x+6)=3x-58 equation:


Simplifying
7(x + 6) = 3x + -58

Reorder the terms:
7(6 + x) = 3x + -58
(6 * 7 + x * 7) = 3x + -58
(42 + 7x) = 3x + -58

Reorder the terms:
42 + 7x = -58 + 3x

Solving
42 + 7x = -58 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + 7x + -3x = -58 + 3x + -3x

Combine like terms: 7x + -3x = 4x
42 + 4x = -58 + 3x + -3x

Combine like terms: 3x + -3x = 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 = -100
4x = -100

Divide each side by '4'.
x = -25

Simplifying
x = -25

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