-3x+45=2(x+5)

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Solution for -3x+45=2(x+5) equation:


Simplifying
-3x + 45 = 2(x + 5)

Reorder the terms:
45 + -3x = 2(x + 5)

Reorder the terms:
45 + -3x = 2(5 + x)
45 + -3x = (5 * 2 + x * 2)
45 + -3x = (10 + 2x)

Solving
45 + -3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + -3x + -2x = 10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
45 + -5x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -5x = 10 + 0
45 + -5x = 10

Add '-45' to each side of the equation.
45 + -45 + -5x = 10 + -45

Combine like terms: 45 + -45 = 0
0 + -5x = 10 + -45
-5x = 10 + -45

Combine like terms: 10 + -45 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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