3x+15=4x-30

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Solution for 3x+15=4x-30 equation:


Simplifying
3x + 15 = 4x + -30

Reorder the terms:
15 + 3x = 4x + -30

Reorder the terms:
15 + 3x = -30 + 4x

Solving
15 + 3x = -30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 3x + -4x = -30 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = -30 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -1x = -30 + 0
15 + -1x = -30

Add '-15' to each side of the equation.
15 + -15 + -1x = -30 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -30 + -15
-1x = -30 + -15

Combine like terms: -30 + -15 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45

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