6(x-6)-7(2-3x)=58

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Solution for 6(x-6)-7(2-3x)=58 equation:


Simplifying
6(x + -6) + -7(2 + -3x) = 58

Reorder the terms:
6(-6 + x) + -7(2 + -3x) = 58
(-6 * 6 + x * 6) + -7(2 + -3x) = 58
(-36 + 6x) + -7(2 + -3x) = 58
-36 + 6x + (2 * -7 + -3x * -7) = 58
-36 + 6x + (-14 + 21x) = 58

Reorder the terms:
-36 + -14 + 6x + 21x = 58

Combine like terms: -36 + -14 = -50
-50 + 6x + 21x = 58

Combine like terms: 6x + 21x = 27x
-50 + 27x = 58

Solving
-50 + 27x = 58

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 27x = 58 + 50

Combine like terms: -50 + 50 = 0
0 + 27x = 58 + 50
27x = 58 + 50

Combine like terms: 58 + 50 = 108
27x = 108

Divide each side by '27'.
x = 4

Simplifying
x = 4

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