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

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Solution for 2x+8-7(x+1)=3x+8 equation:


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

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

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

Combine like terms: 8 + -7 = 1
1 + 2x + -7x = 3x + 8

Combine like terms: 2x + -7x = -5x
1 + -5x = 3x + 8

Reorder the terms:
1 + -5x = 8 + 3x

Solving
1 + -5x = 8 + 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.
1 + -5x + -3x = 8 + 3x + -3x

Combine like terms: -5x + -3x = -8x
1 + -8x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -8x = 8 + 0
1 + -8x = 8

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

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

Combine like terms: 8 + -1 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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