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

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


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

Reorder the terms:
5(-4 + x) = 3(x + -7)
(-4 * 5 + x * 5) = 3(x + -7)
(-20 + 5x) = 3(x + -7)

Reorder the terms:
-20 + 5x = 3(-7 + x)
-20 + 5x = (-7 * 3 + x * 3)
-20 + 5x = (-21 + 3x)

Solving
-20 + 5x = -21 + 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.
-20 + 5x + -3x = -21 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-20 + 2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 2x = -21 + 0
-20 + 2x = -21

Add '20' to each side of the equation.
-20 + 20 + 2x = -21 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -21 + 20
2x = -21 + 20

Combine like terms: -21 + 20 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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