2(x-3)+5=3(x-h)

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Solution for 2(x-3)+5=3(x-h) equation:


Simplifying
2(x + -3) + 5 = 3(x + -1h)

Reorder the terms:
2(-3 + x) + 5 = 3(x + -1h)
(-3 * 2 + x * 2) + 5 = 3(x + -1h)
(-6 + 2x) + 5 = 3(x + -1h)

Reorder the terms:
-6 + 5 + 2x = 3(x + -1h)

Combine like terms: -6 + 5 = -1
-1 + 2x = 3(x + -1h)

Reorder the terms:
-1 + 2x = 3(-1h + x)
-1 + 2x = (-1h * 3 + x * 3)
-1 + 2x = (-3h + 3x)

Solving
-1 + 2x = -3h + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = -3h + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1 + -1x = -3h + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -1x = -3h + 0
-1 + -1x = -3h

Add '1' to each side of the equation.
-1 + 1 + -1x = 1 + -3h

Combine like terms: -1 + 1 = 0
0 + -1x = 1 + -3h
-1x = 1 + -3h

Divide each side by '-1'.
x = -1 + 3h

Simplifying
x = -1 + 3h

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