42x-7(2x-1)=9x+8(x+2)

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Solution for 42x-7(2x-1)=9x+8(x+2) equation:


Simplifying
42x + -7(2x + -1) = 9x + 8(x + 2)

Reorder the terms:
42x + -7(-1 + 2x) = 9x + 8(x + 2)
42x + (-1 * -7 + 2x * -7) = 9x + 8(x + 2)
42x + (7 + -14x) = 9x + 8(x + 2)

Reorder the terms:
7 + 42x + -14x = 9x + 8(x + 2)

Combine like terms: 42x + -14x = 28x
7 + 28x = 9x + 8(x + 2)

Reorder the terms:
7 + 28x = 9x + 8(2 + x)
7 + 28x = 9x + (2 * 8 + x * 8)
7 + 28x = 9x + (16 + 8x)

Reorder the terms:
7 + 28x = 16 + 9x + 8x

Combine like terms: 9x + 8x = 17x
7 + 28x = 16 + 17x

Solving
7 + 28x = 16 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
7 + 28x + -17x = 16 + 17x + -17x

Combine like terms: 28x + -17x = 11x
7 + 11x = 16 + 17x + -17x

Combine like terms: 17x + -17x = 0
7 + 11x = 16 + 0
7 + 11x = 16

Add '-7' to each side of the equation.
7 + -7 + 11x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 11x = 16 + -7
11x = 16 + -7

Combine like terms: 16 + -7 = 9
11x = 9

Divide each side by '11'.
x = 0.8181818182

Simplifying
x = 0.8181818182

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