4(x-2)+11=3(2x-1)+8

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Solution for 4(x-2)+11=3(2x-1)+8 equation: 


Simplifying
4(x + -2) + 11 = 3(2x + -1) + 8

Reorder the terms:
4(-2 + x) + 11 = 3(2x + -1) + 8
(-2 * 4 + x * 4) + 11 = 3(2x + -1) + 8
(-8 + 4x) + 11 = 3(2x + -1) + 8

Reorder the terms:
-8 + 11 + 4x = 3(2x + -1) + 8

Combine like terms: -8 + 11 = 3
3 + 4x = 3(2x + -1) + 8

Reorder the terms:
3 + 4x = 3(-1 + 2x) + 8
3 + 4x = (-1 * 3 + 2x * 3) + 8
3 + 4x = (-3 + 6x) + 8

Reorder the terms:
3 + 4x = -3 + 8 + 6x

Combine like terms: -3 + 8 = 5
3 + 4x = 5 + 6x

Solving
3 + 4x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 4x + -6x = 5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
3 + -2x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -2x = 5 + 0
3 + -2x = 5

Add '-3' to each side of the equation.
3 + -3 + -2x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 5 + -3
-2x = 5 + -3

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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