4-5(3x-1)=-4x+42

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Solution for 4-5(3x-1)=-4x+42 equation:


Simplifying
4 + -5(3x + -1) = -4x + 42

Reorder the terms:
4 + -5(-1 + 3x) = -4x + 42
4 + (-1 * -5 + 3x * -5) = -4x + 42
4 + (5 + -15x) = -4x + 42

Combine like terms: 4 + 5 = 9
9 + -15x = -4x + 42

Reorder the terms:
9 + -15x = 42 + -4x

Solving
9 + -15x = 42 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + -15x + 4x = 42 + -4x + 4x

Combine like terms: -15x + 4x = -11x
9 + -11x = 42 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -11x = 42 + 0
9 + -11x = 42

Add '-9' to each side of the equation.
9 + -9 + -11x = 42 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = 42 + -9
-11x = 42 + -9

Combine like terms: 42 + -9 = 33
-11x = 33

Divide each side by '-11'.
x = -3

Simplifying
x = -3

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