10x-11+8x=6(4x+3)+4

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Solution for 10x-11+8x=6(4x+3)+4 equation:


Simplifying
10x + -11 + 8x = 6(4x + 3) + 4

Reorder the terms:
-11 + 10x + 8x = 6(4x + 3) + 4

Combine like terms: 10x + 8x = 18x
-11 + 18x = 6(4x + 3) + 4

Reorder the terms:
-11 + 18x = 6(3 + 4x) + 4
-11 + 18x = (3 * 6 + 4x * 6) + 4
-11 + 18x = (18 + 24x) + 4

Reorder the terms:
-11 + 18x = 18 + 4 + 24x

Combine like terms: 18 + 4 = 22
-11 + 18x = 22 + 24x

Solving
-11 + 18x = 22 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-11 + 18x + -24x = 22 + 24x + -24x

Combine like terms: 18x + -24x = -6x
-11 + -6x = 22 + 24x + -24x

Combine like terms: 24x + -24x = 0
-11 + -6x = 22 + 0
-11 + -6x = 22

Add '11' to each side of the equation.
-11 + 11 + -6x = 22 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = 22 + 11
-6x = 22 + 11

Combine like terms: 22 + 11 = 33
-6x = 33

Divide each side by '-6'.
x = -5.5

Simplifying
x = -5.5

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