1.5x+6.5=1.24(3x-4)

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Solution for 1.5x+6.5=1.24(3x-4) equation: 


Simplifying
1.5x + 6.5 = 1.24(3x + -4)

Reorder the terms:
6.5 + 1.5x = 1.24(3x + -4)

Reorder the terms:
6.5 + 1.5x = 1.24(-4 + 3x)
6.5 + 1.5x = (-4 * 1.24 + 3x * 1.24)
6.5 + 1.5x = (-4.96 + 3.72x)

Solving
6.5 + 1.5x = -4.96 + 3.72x

Solving for variable 'x'.

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

Add '-3.72x' to each side of the equation.
6.5 + 1.5x + -3.72x = -4.96 + 3.72x + -3.72x

Combine like terms: 1.5x + -3.72x = -2.22x
6.5 + -2.22x = -4.96 + 3.72x + -3.72x

Combine like terms: 3.72x + -3.72x = 0.00
6.5 + -2.22x = -4.96 + 0.00
6.5 + -2.22x = -4.96

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -2.22x = -4.96 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -2.22x = -4.96 + -6.5
-2.22x = -4.96 + -6.5

Combine like terms: -4.96 + -6.5 = -11.46
-2.22x = -11.46

Divide each side by '-2.22'.
x = 5.162162162

Simplifying
x = 5.162162162

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