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

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


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

Reorder the terms:
7(-4 + x) = 4(x + -3)
(-4 * 7 + x * 7) = 4(x + -3)
(-28 + 7x) = 4(x + -3)

Reorder the terms:
-28 + 7x = 4(-3 + x)
-28 + 7x = (-3 * 4 + x * 4)
-28 + 7x = (-12 + 4x)

Solving
-28 + 7x = -12 + 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.
-28 + 7x + -4x = -12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-28 + 3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 3x = -12 + 0
-28 + 3x = -12

Add '28' to each side of the equation.
-28 + 28 + 3x = -12 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -12 + 28
3x = -12 + 28

Combine like terms: -12 + 28 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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