x-3=-7x+10

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


Simplifying
x + -3 = -7x + 10

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

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

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

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

Combine like terms: -7x + 7x = 0
-3 + 8x = 10 + 0
-3 + 8x = 10

Add '3' to each side of the equation.
-3 + 3 + 8x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 10 + 3
8x = 10 + 3

Combine like terms: 10 + 3 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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