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

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


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

Reorder the terms:
3(-7 + 2x) = 4(x + -5)
(-7 * 3 + 2x * 3) = 4(x + -5)
(-21 + 6x) = 4(x + -5)

Reorder the terms:
-21 + 6x = 4(-5 + x)
-21 + 6x = (-5 * 4 + x * 4)
-21 + 6x = (-20 + 4x)

Solving
-21 + 6x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-21 + 6x + -4x = -20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-21 + 2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 2x = -20 + 0
-21 + 2x = -20

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

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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