5(3x-7)+2(9-2x)=8x-(2x+1)-16

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Solution for 5(3x-7)+2(9-2x)=8x-(2x+1)-16 equation:


Simplifying
5(3x + -7) + 2(9 + -2x) = 8x + -1(2x + 1) + -16

Reorder the terms:
5(-7 + 3x) + 2(9 + -2x) = 8x + -1(2x + 1) + -16
(-7 * 5 + 3x * 5) + 2(9 + -2x) = 8x + -1(2x + 1) + -16
(-35 + 15x) + 2(9 + -2x) = 8x + -1(2x + 1) + -16
-35 + 15x + (9 * 2 + -2x * 2) = 8x + -1(2x + 1) + -16
-35 + 15x + (18 + -4x) = 8x + -1(2x + 1) + -16

Reorder the terms:
-35 + 18 + 15x + -4x = 8x + -1(2x + 1) + -16

Combine like terms: -35 + 18 = -17
-17 + 15x + -4x = 8x + -1(2x + 1) + -16

Combine like terms: 15x + -4x = 11x
-17 + 11x = 8x + -1(2x + 1) + -16

Reorder the terms:
-17 + 11x = 8x + -1(1 + 2x) + -16
-17 + 11x = 8x + (1 * -1 + 2x * -1) + -16
-17 + 11x = 8x + (-1 + -2x) + -16

Reorder the terms:
-17 + 11x = -1 + -16 + 8x + -2x

Combine like terms: -1 + -16 = -17
-17 + 11x = -17 + 8x + -2x

Combine like terms: 8x + -2x = 6x
-17 + 11x = -17 + 6x

Add '17' to each side of the equation.
-17 + 17 + 11x = -17 + 17 + 6x

Combine like terms: -17 + 17 = 0
0 + 11x = -17 + 17 + 6x
11x = -17 + 17 + 6x

Combine like terms: -17 + 17 = 0
11x = 0 + 6x
11x = 6x

Solving
11x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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