4(7x-5)=6(4x-2)

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Solution for 4(7x-5)=6(4x-2) equation:


Simplifying
4(7x + -5) = 6(4x + -2)

Reorder the terms:
4(-5 + 7x) = 6(4x + -2)
(-5 * 4 + 7x * 4) = 6(4x + -2)
(-20 + 28x) = 6(4x + -2)

Reorder the terms:
-20 + 28x = 6(-2 + 4x)
-20 + 28x = (-2 * 6 + 4x * 6)
-20 + 28x = (-12 + 24x)

Solving
-20 + 28x = -12 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-20 + 28x + -24x = -12 + 24x + -24x

Combine like terms: 28x + -24x = 4x
-20 + 4x = -12 + 24x + -24x

Combine like terms: 24x + -24x = 0
-20 + 4x = -12 + 0
-20 + 4x = -12

Add '20' to each side of the equation.
-20 + 20 + 4x = -12 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -12 + 20
4x = -12 + 20

Combine like terms: -12 + 20 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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