7(10-6x)=58-6(6x+1)

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Solution for 7(10-6x)=58-6(6x+1) equation:


Simplifying
7(10 + -6x) = 58 + -6(6x + 1)
(10 * 7 + -6x * 7) = 58 + -6(6x + 1)
(70 + -42x) = 58 + -6(6x + 1)

Reorder the terms:
70 + -42x = 58 + -6(1 + 6x)
70 + -42x = 58 + (1 * -6 + 6x * -6)
70 + -42x = 58 + (-6 + -36x)

Combine like terms: 58 + -6 = 52
70 + -42x = 52 + -36x

Solving
70 + -42x = 52 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
70 + -42x + 36x = 52 + -36x + 36x

Combine like terms: -42x + 36x = -6x
70 + -6x = 52 + -36x + 36x

Combine like terms: -36x + 36x = 0
70 + -6x = 52 + 0
70 + -6x = 52

Add '-70' to each side of the equation.
70 + -70 + -6x = 52 + -70

Combine like terms: 70 + -70 = 0
0 + -6x = 52 + -70
-6x = 52 + -70

Combine like terms: 52 + -70 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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