6(3x+10)=-6(-4x+7)

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Solution for 6(3x+10)=-6(-4x+7) equation:


Simplifying
6(3x + 10) = -6(-4x + 7)

Reorder the terms:
6(10 + 3x) = -6(-4x + 7)
(10 * 6 + 3x * 6) = -6(-4x + 7)
(60 + 18x) = -6(-4x + 7)

Reorder the terms:
60 + 18x = -6(7 + -4x)
60 + 18x = (7 * -6 + -4x * -6)
60 + 18x = (-42 + 24x)

Solving
60 + 18x = -42 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
60 + 18x + -24x = -42 + 24x + -24x

Combine like terms: 18x + -24x = -6x
60 + -6x = -42 + 24x + -24x

Combine like terms: 24x + -24x = 0
60 + -6x = -42 + 0
60 + -6x = -42

Add '-60' to each side of the equation.
60 + -60 + -6x = -42 + -60

Combine like terms: 60 + -60 = 0
0 + -6x = -42 + -60
-6x = -42 + -60

Combine like terms: -42 + -60 = -102
-6x = -102

Divide each side by '-6'.
x = 17

Simplifying
x = 17

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