8x-38-(2x+7)=-6x-24

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Solution for 8x-38-(2x+7)=-6x-24 equation:


Simplifying
8x + -38 + -1(2x + 7) = -6x + -24

Reorder the terms:
8x + -38 + -1(7 + 2x) = -6x + -24
8x + -38 + (7 * -1 + 2x * -1) = -6x + -24
8x + -38 + (-7 + -2x) = -6x + -24

Reorder the terms:
-38 + -7 + 8x + -2x = -6x + -24

Combine like terms: -38 + -7 = -45
-45 + 8x + -2x = -6x + -24

Combine like terms: 8x + -2x = 6x
-45 + 6x = -6x + -24

Reorder the terms:
-45 + 6x = -24 + -6x

Solving
-45 + 6x = -24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-45 + 6x + 6x = -24 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-45 + 12x = -24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-45 + 12x = -24 + 0
-45 + 12x = -24

Add '45' to each side of the equation.
-45 + 45 + 12x = -24 + 45

Combine like terms: -45 + 45 = 0
0 + 12x = -24 + 45
12x = -24 + 45

Combine like terms: -24 + 45 = 21
12x = 21

Divide each side by '12'.
x = 1.75

Simplifying
x = 1.75

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