2x-(7x+8)=3x-16

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


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

Reorder the terms:
2x + -1(8 + 7x) = 3x + -16
2x + (8 * -1 + 7x * -1) = 3x + -16
2x + (-8 + -7x) = 3x + -16

Reorder the terms:
-8 + 2x + -7x = 3x + -16

Combine like terms: 2x + -7x = -5x
-8 + -5x = 3x + -16

Reorder the terms:
-8 + -5x = -16 + 3x

Solving
-8 + -5x = -16 + 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.
-8 + -5x + -3x = -16 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-8 + -8x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -8x = -16 + 0
-8 + -8x = -16

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

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

Combine like terms: -16 + 8 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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