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

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


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

Reorder the terms:
4(3 + x) = 3(4 + x) + -1.5
(3 * 4 + x * 4) = 3(4 + x) + -1.5
(12 + 4x) = 3(4 + x) + -1.5
12 + 4x = (4 * 3 + x * 3) + -1.5
12 + 4x = (12 + 3x) + -1.5

Reorder the terms:
12 + 4x = 12 + -1.5 + 3x

Combine like terms: 12 + -1.5 = 10.5
12 + 4x = 10.5 + 3x

Solving
12 + 4x = 10.5 + 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.
12 + 4x + -3x = 10.5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
12 + 1x = 10.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 1x = 10.5 + 0
12 + 1x = 10.5

Add '-12' to each side of the equation.
12 + -12 + 1x = 10.5 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 10.5 + -12
1x = 10.5 + -12

Combine like terms: 10.5 + -12 = -1.5
1x = -1.5

Divide each side by '1'.
x = -1.5

Simplifying
x = -1.5

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