7+3x-1=8x+10-4x

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Solution for 7+3x-1=8x+10-4x equation:


Simplifying
7 + 3x + -1 = 8x + 10 + -4x

Reorder the terms:
7 + -1 + 3x = 8x + 10 + -4x

Combine like terms: 7 + -1 = 6
6 + 3x = 8x + 10 + -4x

Reorder the terms:
6 + 3x = 10 + 8x + -4x

Combine like terms: 8x + -4x = 4x
6 + 3x = 10 + 4x

Solving
6 + 3x = 10 + 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.
6 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 10 + 0
6 + -1x = 10

Add '-6' to each side of the equation.
6 + -6 + -1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 10 + -6
-1x = 10 + -6

Combine like terms: 10 + -6 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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