7x-5(6x+41)=-458

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Solution for 7x-5(6x+41)=-458 equation:


Simplifying
7x + -5(6x + 41) = -458

Reorder the terms:
7x + -5(41 + 6x) = -458
7x + (41 * -5 + 6x * -5) = -458
7x + (-205 + -30x) = -458

Reorder the terms:
-205 + 7x + -30x = -458

Combine like terms: 7x + -30x = -23x
-205 + -23x = -458

Solving
-205 + -23x = -458

Solving for variable 'x'.

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

Add '205' to each side of the equation.
-205 + 205 + -23x = -458 + 205

Combine like terms: -205 + 205 = 0
0 + -23x = -458 + 205
-23x = -458 + 205

Combine like terms: -458 + 205 = -253
-23x = -253

Divide each side by '-23'.
x = 11

Simplifying
x = 11

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