5x-4=2(x-7)

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


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

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

Reorder the terms:
-4 + 5x = 2(-7 + x)
-4 + 5x = (-7 * 2 + x * 2)
-4 + 5x = (-14 + 2x)

Solving
-4 + 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.
-4 + 5x + -2x = -14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-4 + 3x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 3x = -14 + 0
-4 + 3x = -14

Add '4' to each side of the equation.
-4 + 4 + 3x = -14 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -14 + 4
3x = -14 + 4

Combine like terms: -14 + 4 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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