2(x-5)-9=1.5(X+3)-7

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Solution for 2(x-5)-9=1.5(X+3)-7 equation:


Simplifying
2(x + -5) + -9 = 1.5(X + 3) + -7

Reorder the terms:
2(-5 + x) + -9 = 1.5(X + 3) + -7
(-5 * 2 + x * 2) + -9 = 1.5(X + 3) + -7
(-10 + 2x) + -9 = 1.5(X + 3) + -7

Reorder the terms:
-10 + -9 + 2x = 1.5(X + 3) + -7

Combine like terms: -10 + -9 = -19
-19 + 2x = 1.5(X + 3) + -7

Reorder the terms:
-19 + 2x = 1.5(3 + X) + -7
-19 + 2x = (3 * 1.5 + X * 1.5) + -7
-19 + 2x = (4.5 + 1.5X) + -7

Reorder the terms:
-19 + 2x = 4.5 + -7 + 1.5X

Combine like terms: 4.5 + -7 = -2.5
-19 + 2x = -2.5 + 1.5X

Solving
-19 + 2x = -2.5 + 1.5X

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 2x = -2.5 + 19 + 1.5X

Combine like terms: -19 + 19 = 0
0 + 2x = -2.5 + 19 + 1.5X
2x = -2.5 + 19 + 1.5X

Combine like terms: -2.5 + 19 = 16.5
2x = 16.5 + 1.5X

Divide each side by '2'.
x = 8.25 + 0.75X

Simplifying
x = 8.25 + 0.75X

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