5x-3(x-4)=2(x-7)

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Solution for 5x-3(x-4)=2(x-7) equation:


Simplifying
5x + -3(x + -4) = 2(x + -7)

Reorder the terms:
5x + -3(-4 + x) = 2(x + -7)
5x + (-4 * -3 + x * -3) = 2(x + -7)
5x + (12 + -3x) = 2(x + -7)

Reorder the terms:
12 + 5x + -3x = 2(x + -7)

Combine like terms: 5x + -3x = 2x
12 + 2x = 2(x + -7)

Reorder the terms:
12 + 2x = 2(-7 + x)
12 + 2x = (-7 * 2 + x * 2)
12 + 2x = (-14 + 2x)

Add '-2x' to each side of the equation.
12 + 2x + -2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 0 = -14 + 2x + -2x
12 = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 = -14 + 0
12 = -14

Solving
12 = -14

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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