4(x+2)=3(1.5+x)

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


Simplifying
4(x + 2) = 3(1.5 + x)

Reorder the terms:
4(2 + x) = 3(1.5 + x)
(2 * 4 + x * 4) = 3(1.5 + x)
(8 + 4x) = 3(1.5 + x)
8 + 4x = (1.5 * 3 + x * 3)
8 + 4x = (4.5 + 3x)

Solving
8 + 4x = 4.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = 4.5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = 4.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = 4.5 + 0
8 + 1x = 4.5

Add '-8' to each side of the equation.
8 + -8 + 1x = 4.5 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 4.5 + -8
1x = 4.5 + -8

Combine like terms: 4.5 + -8 = -3.5
1x = -3.5

Divide each side by '1'.
x = -3.5

Simplifying
x = -3.5

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