3(x-2)-(4x-10)=-3

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Solution for 3(x-2)-(4x-10)=-3 equation:


Simplifying
3(x + -2) + -1(4x + -10) = -3

Reorder the terms:
3(-2 + x) + -1(4x + -10) = -3
(-2 * 3 + x * 3) + -1(4x + -10) = -3
(-6 + 3x) + -1(4x + -10) = -3

Reorder the terms:
-6 + 3x + -1(-10 + 4x) = -3
-6 + 3x + (-10 * -1 + 4x * -1) = -3
-6 + 3x + (10 + -4x) = -3

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

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

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

Solving
4 + -1x = -3

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -3 + -4
-1x = -3 + -4

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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