7x-3x+1=5-4x-8

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Solution for 7x-3x+1=5-4x-8 equation:


Simplifying
7x + -3x + 1 = 5 + -4x + -8

Reorder the terms:
1 + 7x + -3x = 5 + -4x + -8

Combine like terms: 7x + -3x = 4x
1 + 4x = 5 + -4x + -8

Reorder the terms:
1 + 4x = 5 + -8 + -4x

Combine like terms: 5 + -8 = -3
1 + 4x = -3 + -4x

Solving
1 + 4x = -3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1 + 4x + 4x = -3 + -4x + 4x

Combine like terms: 4x + 4x = 8x
1 + 8x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 8x = -3 + 0
1 + 8x = -3

Add '-1' to each side of the equation.
1 + -1 + 8x = -3 + -1

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

Combine like terms: -3 + -1 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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