5x+8-7(x+1)=7x+5

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Solution for 5x+8-7(x+1)=7x+5 equation:


Simplifying
5x + 8 + -7(x + 1) = 7x + 5

Reorder the terms:
5x + 8 + -7(1 + x) = 7x + 5
5x + 8 + (1 * -7 + x * -7) = 7x + 5
5x + 8 + (-7 + -7x) = 7x + 5

Reorder the terms:
8 + -7 + 5x + -7x = 7x + 5

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

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

Reorder the terms:
1 + -2x = 5 + 7x

Solving
1 + -2x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + -2x + -7x = 5 + 7x + -7x

Combine like terms: -2x + -7x = -9x
1 + -9x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -9x = 5 + 0
1 + -9x = 5

Add '-1' to each side of the equation.
1 + -1 + -9x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 5 + -1
-9x = 5 + -1

Combine like terms: 5 + -1 = 4
-9x = 4

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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