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

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


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

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

Reorder the terms:
-21 + 3x = 4(-5 + x)
-21 + 3x = (-5 * 4 + x * 4)
-21 + 3x = (-20 + 4x)

Solving
-21 + 3x = -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 + 3x + -4x = -20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-21 + -1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + -1x = -20 + 0
-21 + -1x = -20

Add '21' to each side of the equation.
-21 + 21 + -1x = -20 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = -20 + 21
-1x = -20 + 21

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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