10-3x=-7x+8

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


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

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

Solving
10 + -3x = 8 + -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.
10 + -3x + 7x = 8 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
10 + 4x = 8 + 0
10 + 4x = 8

Add '-10' to each side of the equation.
10 + -10 + 4x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 8 + -10
4x = 8 + -10

Combine like terms: 8 + -10 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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