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

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Solution for 4(x-3)-2(x-1)=3x+3 equation:


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

Reorder the terms:
4(-3 + x) + -2(x + -1) = 3x + 3
(-3 * 4 + x * 4) + -2(x + -1) = 3x + 3
(-12 + 4x) + -2(x + -1) = 3x + 3

Reorder the terms:
-12 + 4x + -2(-1 + x) = 3x + 3
-12 + 4x + (-1 * -2 + x * -2) = 3x + 3
-12 + 4x + (2 + -2x) = 3x + 3

Reorder the terms:
-12 + 2 + 4x + -2x = 3x + 3

Combine like terms: -12 + 2 = -10
-10 + 4x + -2x = 3x + 3

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

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

Solving
-10 + 2x = 3 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -3x = -1x
-10 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = 3 + 0
-10 + -1x = 3

Add '10' to each side of the equation.
-10 + 10 + -1x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 3 + 10
-1x = 3 + 10

Combine like terms: 3 + 10 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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