3(-x+10)-4=-4(2x-3)-6

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Solution for 3(-x+10)-4=-4(2x-3)-6 equation:


Simplifying
3(-1x + 10) + -4 = -4(2x + -3) + -6

Reorder the terms:
3(10 + -1x) + -4 = -4(2x + -3) + -6
(10 * 3 + -1x * 3) + -4 = -4(2x + -3) + -6
(30 + -3x) + -4 = -4(2x + -3) + -6

Reorder the terms:
30 + -4 + -3x = -4(2x + -3) + -6

Combine like terms: 30 + -4 = 26
26 + -3x = -4(2x + -3) + -6

Reorder the terms:
26 + -3x = -4(-3 + 2x) + -6
26 + -3x = (-3 * -4 + 2x * -4) + -6
26 + -3x = (12 + -8x) + -6

Reorder the terms:
26 + -3x = 12 + -6 + -8x

Combine like terms: 12 + -6 = 6
26 + -3x = 6 + -8x

Solving
26 + -3x = 6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
26 + -3x + 8x = 6 + -8x + 8x

Combine like terms: -3x + 8x = 5x
26 + 5x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
26 + 5x = 6 + 0
26 + 5x = 6

Add '-26' to each side of the equation.
26 + -26 + 5x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + 5x = 6 + -26
5x = 6 + -26

Combine like terms: 6 + -26 = -20
5x = -20

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

Simplifying
x = -4

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