4(x-2)-(x+3)=x-14

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Solution for 4(x-2)-(x+3)=x-14 equation:


Simplifying
4(x + -2) + -1(x + 3) = x + -14

Reorder the terms:
4(-2 + x) + -1(x + 3) = x + -14
(-2 * 4 + x * 4) + -1(x + 3) = x + -14
(-8 + 4x) + -1(x + 3) = x + -14

Reorder the terms:
-8 + 4x + -1(3 + x) = x + -14
-8 + 4x + (3 * -1 + x * -1) = x + -14
-8 + 4x + (-3 + -1x) = x + -14

Reorder the terms:
-8 + -3 + 4x + -1x = x + -14

Combine like terms: -8 + -3 = -11
-11 + 4x + -1x = x + -14

Combine like terms: 4x + -1x = 3x
-11 + 3x = x + -14

Reorder the terms:
-11 + 3x = -14 + x

Solving
-11 + 3x = -14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-11 + 3x + -1x = -14 + x + -1x

Combine like terms: 3x + -1x = 2x
-11 + 2x = -14 + x + -1x

Combine like terms: x + -1x = 0
-11 + 2x = -14 + 0
-11 + 2x = -14

Add '11' to each side of the equation.
-11 + 11 + 2x = -14 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = -14 + 11
2x = -14 + 11

Combine like terms: -14 + 11 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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