5x-4=7(x-2)

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


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

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

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

Solving
-4 + 5x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 5x + -7x = -14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-4 + -2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -2x = -14 + 0
-4 + -2x = -14

Add '4' to each side of the equation.
-4 + 4 + -2x = -14 + 4

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

Combine like terms: -14 + 4 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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