-35=-8(1+3x)+3(6x-3)

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Solution for -35=-8(1+3x)+3(6x-3) equation:


Simplifying
-35 = -8(1 + 3x) + 3(6x + -3)
-35 = (1 * -8 + 3x * -8) + 3(6x + -3)
-35 = (-8 + -24x) + 3(6x + -3)

Reorder the terms:
-35 = -8 + -24x + 3(-3 + 6x)
-35 = -8 + -24x + (-3 * 3 + 6x * 3)
-35 = -8 + -24x + (-9 + 18x)

Reorder the terms:
-35 = -8 + -9 + -24x + 18x

Combine like terms: -8 + -9 = -17
-35 = -17 + -24x + 18x

Combine like terms: -24x + 18x = -6x
-35 = -17 + -6x

Solving
-35 = -17 + -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.
-35 + 6x = -17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-35 + 6x = -17 + 0
-35 + 6x = -17

Add '35' to each side of the equation.
-35 + 35 + 6x = -17 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = -17 + 35
6x = -17 + 35

Combine like terms: -17 + 35 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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