(3+8)(4+2x)=10-1.5(x+4)

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Solution for (3+8)(4+2x)=10-1.5(x+4) equation:


Simplifying
(3 + 8)(4 + 2x) = 10 + -1.5(x + 4)

Combine like terms: 3 + 8 = 11
(11)(4 + 2x) = 10 + -1.5(x + 4)
(4 * 11 + 2x * 11) = 10 + -1.5(x + 4)
(44 + 22x) = 10 + -1.5(x + 4)

Reorder the terms:
44 + 22x = 10 + -1.5(4 + x)
44 + 22x = 10 + (4 * -1.5 + x * -1.5)
44 + 22x = 10 + (-6 + -1.5x)

Combine like terms: 10 + -6 = 4
44 + 22x = 4 + -1.5x

Solving
44 + 22x = 4 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
44 + 22x + 1.5x = 4 + -1.5x + 1.5x

Combine like terms: 22x + 1.5x = 23.5x
44 + 23.5x = 4 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
44 + 23.5x = 4 + 0.0
44 + 23.5x = 4

Add '-44' to each side of the equation.
44 + -44 + 23.5x = 4 + -44

Combine like terms: 44 + -44 = 0
0 + 23.5x = 4 + -44
23.5x = 4 + -44

Combine like terms: 4 + -44 = -40
23.5x = -40

Divide each side by '23.5'.
x = -1.70212766

Simplifying
x = -1.70212766

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