3(x-3)=5(1.5m+x)

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Solution for 3(x-3)=5(1.5m+x) equation:


Simplifying
3(x + -3) = 5(1.5m + x)

Reorder the terms:
3(-3 + x) = 5(1.5m + x)
(-3 * 3 + x * 3) = 5(1.5m + x)
(-9 + 3x) = 5(1.5m + x)
-9 + 3x = (1.5m * 5 + x * 5)
-9 + 3x = (7.5m + 5x)

Solving
-9 + 3x = 7.5m + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 3x + -5x = 7.5m + 5x + -5x

Combine like terms: 3x + -5x = -2x
-9 + -2x = 7.5m + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -2x = 7.5m + 0
-9 + -2x = 7.5m

Add '9' to each side of the equation.
-9 + 9 + -2x = 9 + 7.5m

Combine like terms: -9 + 9 = 0
0 + -2x = 9 + 7.5m
-2x = 9 + 7.5m

Divide each side by '-2'.
x = -4.5 + -3.75m

Simplifying
x = -4.5 + -3.75m

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