7x+16=2(8x+1)-4

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Solution for 7x+16=2(8x+1)-4 equation:


Simplifying
7x + 16 = 2(8x + 1) + -4

Reorder the terms:
16 + 7x = 2(8x + 1) + -4

Reorder the terms:
16 + 7x = 2(1 + 8x) + -4
16 + 7x = (1 * 2 + 8x * 2) + -4
16 + 7x = (2 + 16x) + -4

Reorder the terms:
16 + 7x = 2 + -4 + 16x

Combine like terms: 2 + -4 = -2
16 + 7x = -2 + 16x

Solving
16 + 7x = -2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
16 + 7x + -16x = -2 + 16x + -16x

Combine like terms: 7x + -16x = -9x
16 + -9x = -2 + 16x + -16x

Combine like terms: 16x + -16x = 0
16 + -9x = -2 + 0
16 + -9x = -2

Add '-16' to each side of the equation.
16 + -16 + -9x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -2 + -16
-9x = -2 + -16

Combine like terms: -2 + -16 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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