7x-(3x-10)=3-2x

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Solution for 7x-(3x-10)=3-2x equation:


Simplifying
7x + -1(3x + -10) = 3 + -2x

Reorder the terms:
7x + -1(-10 + 3x) = 3 + -2x
7x + (-10 * -1 + 3x * -1) = 3 + -2x
7x + (10 + -3x) = 3 + -2x

Reorder the terms:
10 + 7x + -3x = 3 + -2x

Combine like terms: 7x + -3x = 4x
10 + 4x = 3 + -2x

Solving
10 + 4x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 4x + 2x = 3 + -2x + 2x

Combine like terms: 4x + 2x = 6x
10 + 6x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 6x = 3 + 0
10 + 6x = 3

Add '-10' to each side of the equation.
10 + -10 + 6x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 3 + -10
6x = 3 + -10

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

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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