7(2x-5)=8(x-4)+16

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Solution for 7(2x-5)=8(x-4)+16 equation: 


Simplifying
7(2x + -5) = 8(x + -4) + 16

Reorder the terms:
7(-5 + 2x) = 8(x + -4) + 16
(-5 * 7 + 2x * 7) = 8(x + -4) + 16
(-35 + 14x) = 8(x + -4) + 16

Reorder the terms:
-35 + 14x = 8(-4 + x) + 16
-35 + 14x = (-4 * 8 + x * 8) + 16
-35 + 14x = (-32 + 8x) + 16

Reorder the terms:
-35 + 14x = -32 + 16 + 8x

Combine like terms: -32 + 16 = -16
-35 + 14x = -16 + 8x

Solving
-35 + 14x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-35 + 14x + -8x = -16 + 8x + -8x

Combine like terms: 14x + -8x = 6x
-35 + 6x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-35 + 6x = -16 + 0
-35 + 6x = -16

Add '35' to each side of the equation.
-35 + 35 + 6x = -16 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = -16 + 35
6x = -16 + 35

Combine like terms: -16 + 35 = 19
6x = 19

Divide each side by '6'.
x = 3.166666667

Simplifying
x = 3.166666667

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