7x+8(x-2)=4(x-9)

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Solution for 7x+8(x-2)=4(x-9) equation:


Simplifying
7x + 8(x + -2) = 4(x + -9)

Reorder the terms:
7x + 8(-2 + x) = 4(x + -9)
7x + (-2 * 8 + x * 8) = 4(x + -9)
7x + (-16 + 8x) = 4(x + -9)

Reorder the terms:
-16 + 7x + 8x = 4(x + -9)

Combine like terms: 7x + 8x = 15x
-16 + 15x = 4(x + -9)

Reorder the terms:
-16 + 15x = 4(-9 + x)
-16 + 15x = (-9 * 4 + x * 4)
-16 + 15x = (-36 + 4x)

Solving
-16 + 15x = -36 + 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.
-16 + 15x + -4x = -36 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-16 + 11x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 11x = -36 + 0
-16 + 11x = -36

Add '16' to each side of the equation.
-16 + 16 + 11x = -36 + 16

Combine like terms: -16 + 16 = 0
0 + 11x = -36 + 16
11x = -36 + 16

Combine like terms: -36 + 16 = -20
11x = -20

Divide each side by '11'.
x = -1.818181818

Simplifying
x = -1.818181818

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