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

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

Multiply 3 * 8
3 + 4x = 24(-1 + 2x)
3 + 4x = (-1 * 24 + 2x * 24)
3 + 4x = (-24 + 48x)

Solving
3 + 4x = -24 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
3 + 4x + -48x = -24 + 48x + -48x

Combine like terms: 4x + -48x = -44x
3 + -44x = -24 + 48x + -48x

Combine like terms: 48x + -48x = 0
3 + -44x = -24 + 0
3 + -44x = -24

Add '-3' to each side of the equation.
3 + -3 + -44x = -24 + -3

Combine like terms: 3 + -3 = 0
0 + -44x = -24 + -3
-44x = -24 + -3

Combine like terms: -24 + -3 = -27
-44x = -27

Divide each side by '-44'.
x = 0.6136363636

Simplifying
x = 0.6136363636

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