x*2+x*3=2(x-7)

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Solution for x*2+x*3=2(x-7) equation:


Simplifying
x * 2 + x * 3 = 2(x + -7)

Reorder the terms for easier multiplication:
2x + x * 3 = 2(x + -7)

Reorder the terms for easier multiplication:
2x + 3x = 2(x + -7)

Combine like terms: 2x + 3x = 5x
5x = 2(x + -7)

Reorder the terms:
5x = 2(-7 + x)
5x = (-7 * 2 + x * 2)
5x = (-14 + 2x)

Solving
5x = -14 + 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.
5x + -2x = -14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x = -14 + 0
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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