9+4(x+5)-7=9+2(4-2x)-16

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Solution for 9+4(x+5)-7=9+2(4-2x)-16 equation: 


Simplifying
9 + 4(x + 5) + -7 = 9 + 2(4 + -2x) + -16

Reorder the terms:
9 + 4(5 + x) + -7 = 9 + 2(4 + -2x) + -16
9 + (5 * 4 + x * 4) + -7 = 9 + 2(4 + -2x) + -16
9 + (20 + 4x) + -7 = 9 + 2(4 + -2x) + -16

Reorder the terms:
9 + 20 + -7 + 4x = 9 + 2(4 + -2x) + -16

Combine like terms: 9 + 20 = 29
29 + -7 + 4x = 9 + 2(4 + -2x) + -16

Combine like terms: 29 + -7 = 22
22 + 4x = 9 + 2(4 + -2x) + -16
22 + 4x = 9 + (4 * 2 + -2x * 2) + -16
22 + 4x = 9 + (8 + -4x) + -16

Reorder the terms:
22 + 4x = 9 + 8 + -16 + -4x

Combine like terms: 9 + 8 = 17
22 + 4x = 17 + -16 + -4x

Combine like terms: 17 + -16 = 1
22 + 4x = 1 + -4x

Solving
22 + 4x = 1 + -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.
22 + 4x + 4x = 1 + -4x + 4x

Combine like terms: 4x + 4x = 8x
22 + 8x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
22 + 8x = 1 + 0
22 + 8x = 1

Add '-22' to each side of the equation.
22 + -22 + 8x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + 8x = 1 + -22
8x = 1 + -22

Combine like terms: 1 + -22 = -21
8x = -21

Divide each side by '8'.
x = -2.625

Simplifying
x = -2.625

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