-10x-3(3-6x)=3(x-4)-17

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Solution for -10x-3(3-6x)=3(x-4)-17 equation:


Simplifying
-10x + -3(3 + -6x) = 3(x + -4) + -17
-10x + (3 * -3 + -6x * -3) = 3(x + -4) + -17
-10x + (-9 + 18x) = 3(x + -4) + -17

Reorder the terms:
-9 + -10x + 18x = 3(x + -4) + -17

Combine like terms: -10x + 18x = 8x
-9 + 8x = 3(x + -4) + -17

Reorder the terms:
-9 + 8x = 3(-4 + x) + -17
-9 + 8x = (-4 * 3 + x * 3) + -17
-9 + 8x = (-12 + 3x) + -17

Reorder the terms:
-9 + 8x = -12 + -17 + 3x

Combine like terms: -12 + -17 = -29
-9 + 8x = -29 + 3x

Solving
-9 + 8x = -29 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 8x + -3x = -29 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-9 + 5x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 5x = -29 + 0
-9 + 5x = -29

Add '9' to each side of the equation.
-9 + 9 + 5x = -29 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = -29 + 9
5x = -29 + 9

Combine like terms: -29 + 9 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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