3+2(x+5)=3(x-4)

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Solution for 3+2(x+5)=3(x-4) equation:


Simplifying
3 + 2(x + 5) = 3(x + -4)

Reorder the terms:
3 + 2(5 + x) = 3(x + -4)
3 + (5 * 2 + x * 2) = 3(x + -4)
3 + (10 + 2x) = 3(x + -4)

Combine like terms: 3 + 10 = 13
13 + 2x = 3(x + -4)

Reorder the terms:
13 + 2x = 3(-4 + x)
13 + 2x = (-4 * 3 + x * 3)
13 + 2x = (-12 + 3x)

Solving
13 + 2x = -12 + 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.
13 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
13 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -1x = -12 + 0
13 + -1x = -12

Add '-13' to each side of the equation.
13 + -13 + -1x = -12 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -12 + -13
-1x = -12 + -13

Combine like terms: -12 + -13 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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