7x-(3x-10)=46

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Solution for 7x-(3x-10)=46 equation:


Simplifying
7x + -1(3x + -10) = 46

Reorder the terms:
7x + -1(-10 + 3x) = 46
7x + (-10 * -1 + 3x * -1) = 46
7x + (10 + -3x) = 46

Reorder the terms:
10 + 7x + -3x = 46

Combine like terms: 7x + -3x = 4x
10 + 4x = 46

Solving
10 + 4x = 46

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 4x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 46 + -10
4x = 46 + -10

Combine like terms: 46 + -10 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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