16x-2(4x+7)=6x-3(x-3)

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Solution for 16x-2(4x+7)=6x-3(x-3) equation:


Simplifying
16x + -2(4x + 7) = 6x + -3(x + -3)

Reorder the terms:
16x + -2(7 + 4x) = 6x + -3(x + -3)
16x + (7 * -2 + 4x * -2) = 6x + -3(x + -3)
16x + (-14 + -8x) = 6x + -3(x + -3)

Reorder the terms:
-14 + 16x + -8x = 6x + -3(x + -3)

Combine like terms: 16x + -8x = 8x
-14 + 8x = 6x + -3(x + -3)

Reorder the terms:
-14 + 8x = 6x + -3(-3 + x)
-14 + 8x = 6x + (-3 * -3 + x * -3)
-14 + 8x = 6x + (9 + -3x)

Reorder the terms:
-14 + 8x = 9 + 6x + -3x

Combine like terms: 6x + -3x = 3x
-14 + 8x = 9 + 3x

Solving
-14 + 8x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 8x + -3x = 9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-14 + 5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 5x = 9 + 0
-14 + 5x = 9

Add '14' to each side of the equation.
-14 + 14 + 5x = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 9 + 14
5x = 9 + 14

Combine like terms: 9 + 14 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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