4x-(9x+3)=8x-42

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Solution for 4x-(9x+3)=8x-42 equation:


Simplifying
4x + -1(9x + 3) = 8x + -42

Reorder the terms:
4x + -1(3 + 9x) = 8x + -42
4x + (3 * -1 + 9x * -1) = 8x + -42
4x + (-3 + -9x) = 8x + -42

Reorder the terms:
-3 + 4x + -9x = 8x + -42

Combine like terms: 4x + -9x = -5x
-3 + -5x = 8x + -42

Reorder the terms:
-3 + -5x = -42 + 8x

Solving
-3 + -5x = -42 + 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.
-3 + -5x + -8x = -42 + 8x + -8x

Combine like terms: -5x + -8x = -13x
-3 + -13x = -42 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -13x = -42 + 0
-3 + -13x = -42

Add '3' to each side of the equation.
-3 + 3 + -13x = -42 + 3

Combine like terms: -3 + 3 = 0
0 + -13x = -42 + 3
-13x = -42 + 3

Combine like terms: -42 + 3 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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