30-2(x-5)-8x=6(x-7)+24

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Solution for 30-2(x-5)-8x=6(x-7)+24 equation:


Simplifying
30 + -2(x + -5) + -8x = 6(x + -7) + 24

Reorder the terms:
30 + -2(-5 + x) + -8x = 6(x + -7) + 24
30 + (-5 * -2 + x * -2) + -8x = 6(x + -7) + 24
30 + (10 + -2x) + -8x = 6(x + -7) + 24

Combine like terms: 30 + 10 = 40
40 + -2x + -8x = 6(x + -7) + 24

Combine like terms: -2x + -8x = -10x
40 + -10x = 6(x + -7) + 24

Reorder the terms:
40 + -10x = 6(-7 + x) + 24
40 + -10x = (-7 * 6 + x * 6) + 24
40 + -10x = (-42 + 6x) + 24

Reorder the terms:
40 + -10x = -42 + 24 + 6x

Combine like terms: -42 + 24 = -18
40 + -10x = -18 + 6x

Solving
40 + -10x = -18 + 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.
40 + -10x + -6x = -18 + 6x + -6x

Combine like terms: -10x + -6x = -16x
40 + -16x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -16x = -18 + 0
40 + -16x = -18

Add '-40' to each side of the equation.
40 + -40 + -16x = -18 + -40

Combine like terms: 40 + -40 = 0
0 + -16x = -18 + -40
-16x = -18 + -40

Combine like terms: -18 + -40 = -58
-16x = -58

Divide each side by '-16'.
x = 3.625

Simplifying
x = 3.625

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