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

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


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

Reorder the terms:
4(-4 + x) + -2(x + -3) = x + 3 + -1(x + -2)
(-4 * 4 + x * 4) + -2(x + -3) = x + 3 + -1(x + -2)
(-16 + 4x) + -2(x + -3) = x + 3 + -1(x + -2)

Reorder the terms:
-16 + 4x + -2(-3 + x) = x + 3 + -1(x + -2)
-16 + 4x + (-3 * -2 + x * -2) = x + 3 + -1(x + -2)
-16 + 4x + (6 + -2x) = x + 3 + -1(x + -2)

Reorder the terms:
-16 + 6 + 4x + -2x = x + 3 + -1(x + -2)

Combine like terms: -16 + 6 = -10
-10 + 4x + -2x = x + 3 + -1(x + -2)

Combine like terms: 4x + -2x = 2x
-10 + 2x = x + 3 + -1(x + -2)

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

Reorder the terms:
-10 + 2x = 3 + 2 + x + -1x

Combine like terms: 3 + 2 = 5
-10 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = 5 + 0
-10 + 2x = 5

Solving
-10 + 2x = 5

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 + 2x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 5 + 10
2x = 5 + 10

Combine like terms: 5 + 10 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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