4(x-3)-11=15-2(x+4)

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Solution for 4(x-3)-11=15-2(x+4) equation:


Simplifying
4(x + -3) + -11 = 15 + -2(x + 4)

Reorder the terms:
4(-3 + x) + -11 = 15 + -2(x + 4)
(-3 * 4 + x * 4) + -11 = 15 + -2(x + 4)
(-12 + 4x) + -11 = 15 + -2(x + 4)

Reorder the terms:
-12 + -11 + 4x = 15 + -2(x + 4)

Combine like terms: -12 + -11 = -23
-23 + 4x = 15 + -2(x + 4)

Reorder the terms:
-23 + 4x = 15 + -2(4 + x)
-23 + 4x = 15 + (4 * -2 + x * -2)
-23 + 4x = 15 + (-8 + -2x)

Combine like terms: 15 + -8 = 7
-23 + 4x = 7 + -2x

Solving
-23 + 4x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-23 + 4x + 2x = 7 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-23 + 6x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 6x = 7 + 0
-23 + 6x = 7

Add '23' to each side of the equation.
-23 + 23 + 6x = 7 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 7 + 23
6x = 7 + 23

Combine like terms: 7 + 23 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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