3(x-3)=5(1.5m+3)+3.5m-1

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Solution for 3(x-3)=5(1.5m+3)+3.5m-1 equation:


Simplifying
3(x + -3) = 5(1.5m + 3) + 3.5m + -1

Reorder the terms:
3(-3 + x) = 5(1.5m + 3) + 3.5m + -1
(-3 * 3 + x * 3) = 5(1.5m + 3) + 3.5m + -1
(-9 + 3x) = 5(1.5m + 3) + 3.5m + -1

Reorder the terms:
-9 + 3x = 5(3 + 1.5m) + 3.5m + -1
-9 + 3x = (3 * 5 + 1.5m * 5) + 3.5m + -1
-9 + 3x = (15 + 7.5m) + 3.5m + -1

Reorder the terms:
-9 + 3x = 15 + -1 + 7.5m + 3.5m

Combine like terms: 15 + -1 = 14
-9 + 3x = 14 + 7.5m + 3.5m

Combine like terms: 7.5m + 3.5m = 11m
-9 + 3x = 14 + 11m

Solving
-9 + 3x = 14 + 11m

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 14 + 9 + 11m

Combine like terms: -9 + 9 = 0
0 + 3x = 14 + 9 + 11m
3x = 14 + 9 + 11m

Combine like terms: 14 + 9 = 23
3x = 23 + 11m

Divide each side by '3'.
x = 7.666666667 + 3.666666667m

Simplifying
x = 7.666666667 + 3.666666667m

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