-6(7-x)=10(x+3)-24

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Solution for -6(7-x)=10(x+3)-24 equation:


Simplifying
-6(7 + -1x) = 10(x + 3) + -24
(7 * -6 + -1x * -6) = 10(x + 3) + -24
(-42 + 6x) = 10(x + 3) + -24

Reorder the terms:
-42 + 6x = 10(3 + x) + -24
-42 + 6x = (3 * 10 + x * 10) + -24
-42 + 6x = (30 + 10x) + -24

Reorder the terms:
-42 + 6x = 30 + -24 + 10x

Combine like terms: 30 + -24 = 6
-42 + 6x = 6 + 10x

Solving
-42 + 6x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-42 + 6x + -10x = 6 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-42 + -4x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-42 + -4x = 6 + 0
-42 + -4x = 6

Add '42' to each side of the equation.
-42 + 42 + -4x = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -4x = 6 + 42
-4x = 6 + 42

Combine like terms: 6 + 42 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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