69=-3(1-4x)+6(5x-2)

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Solution for 69=-3(1-4x)+6(5x-2) equation: 


Simplifying
69 = -3(1 + -4x) + 6(5x + -2)
69 = (1 * -3 + -4x * -3) + 6(5x + -2)
69 = (-3 + 12x) + 6(5x + -2)

Reorder the terms:
69 = -3 + 12x + 6(-2 + 5x)
69 = -3 + 12x + (-2 * 6 + 5x * 6)
69 = -3 + 12x + (-12 + 30x)

Reorder the terms:
69 = -3 + -12 + 12x + 30x

Combine like terms: -3 + -12 = -15
69 = -15 + 12x + 30x

Combine like terms: 12x + 30x = 42x
69 = -15 + 42x

Solving
69 = -15 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
69 + -42x = -15 + 42x + -42x

Combine like terms: 42x + -42x = 0
69 + -42x = -15 + 0
69 + -42x = -15

Add '-69' to each side of the equation.
69 + -69 + -42x = -15 + -69

Combine like terms: 69 + -69 = 0
0 + -42x = -15 + -69
-42x = -15 + -69

Combine like terms: -15 + -69 = -84
-42x = -84

Divide each side by '-42'.
x = 2

Simplifying
x = 2

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