4(x-3)+7=11-(1-x)

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Solution for 4(x-3)+7=11-(1-x) equation:


Simplifying
4(x + -3) + 7 = 11 + -1(1 + -1x)

Reorder the terms:
4(-3 + x) + 7 = 11 + -1(1 + -1x)
(-3 * 4 + x * 4) + 7 = 11 + -1(1 + -1x)
(-12 + 4x) + 7 = 11 + -1(1 + -1x)

Reorder the terms:
-12 + 7 + 4x = 11 + -1(1 + -1x)

Combine like terms: -12 + 7 = -5
-5 + 4x = 11 + -1(1 + -1x)
-5 + 4x = 11 + (1 * -1 + -1x * -1)
-5 + 4x = 11 + (-1 + 1x)

Combine like terms: 11 + -1 = 10
-5 + 4x = 10 + 1x

Solving
-5 + 4x = 10 + 1x

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.
-5 + 4x + -1x = 10 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-5 + 3x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 3x = 10 + 0
-5 + 3x = 10

Add '5' to each side of the equation.
-5 + 5 + 3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 10 + 5
3x = 10 + 5

Combine like terms: 10 + 5 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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