-67=-6(x-1)+5(-4x+1)

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Solution for -67=-6(x-1)+5(-4x+1) equation:


Simplifying
-67 = -6(x + -1) + 5(-4x + 1)

Reorder the terms:
-67 = -6(-1 + x) + 5(-4x + 1)
-67 = (-1 * -6 + x * -6) + 5(-4x + 1)
-67 = (6 + -6x) + 5(-4x + 1)

Reorder the terms:
-67 = 6 + -6x + 5(1 + -4x)
-67 = 6 + -6x + (1 * 5 + -4x * 5)
-67 = 6 + -6x + (5 + -20x)

Reorder the terms:
-67 = 6 + 5 + -6x + -20x

Combine like terms: 6 + 5 = 11
-67 = 11 + -6x + -20x

Combine like terms: -6x + -20x = -26x
-67 = 11 + -26x

Solving
-67 = 11 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
-67 + 26x = 11 + -26x + 26x

Combine like terms: -26x + 26x = 0
-67 + 26x = 11 + 0
-67 + 26x = 11

Add '67' to each side of the equation.
-67 + 67 + 26x = 11 + 67

Combine like terms: -67 + 67 = 0
0 + 26x = 11 + 67
26x = 11 + 67

Combine like terms: 11 + 67 = 78
26x = 78

Divide each side by '26'.
x = 3

Simplifying
x = 3

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