1.5x+4(2.4-x)=37.5+x

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Solution for 1.5x+4(2.4-x)=37.5+x equation:


Simplifying
1.5x + 4(2.4 + -1x) = 37.5 + x
1.5x + (2.4 * 4 + -1x * 4) = 37.5 + x
1.5x + (9.6 + -4x) = 37.5 + x

Reorder the terms:
9.6 + 1.5x + -4x = 37.5 + x

Combine like terms: 1.5x + -4x = -2.5x
9.6 + -2.5x = 37.5 + x

Solving
9.6 + -2.5x = 37.5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9.6 + -2.5x + -1x = 37.5 + x + -1x

Combine like terms: -2.5x + -1x = -3.5x
9.6 + -3.5x = 37.5 + x + -1x

Combine like terms: x + -1x = 0
9.6 + -3.5x = 37.5 + 0
9.6 + -3.5x = 37.5

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -3.5x = 37.5 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -3.5x = 37.5 + -9.6
-3.5x = 37.5 + -9.6

Combine like terms: 37.5 + -9.6 = 27.9
-3.5x = 27.9

Divide each side by '-3.5'.
x = -7.971428571

Simplifying
x = -7.971428571

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