5(3x-1)=4(4x-3)

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Solution for 5(3x-1)=4(4x-3) equation:


Simplifying
5(3x + -1) = 4(4x + -3)

Reorder the terms:
5(-1 + 3x) = 4(4x + -3)
(-1 * 5 + 3x * 5) = 4(4x + -3)
(-5 + 15x) = 4(4x + -3)

Reorder the terms:
-5 + 15x = 4(-3 + 4x)
-5 + 15x = (-3 * 4 + 4x * 4)
-5 + 15x = (-12 + 16x)

Solving
-5 + 15x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-5 + 15x + -16x = -12 + 16x + -16x

Combine like terms: 15x + -16x = -1x
-5 + -1x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
-5 + -1x = -12 + 0
-5 + -1x = -12

Add '5' to each side of the equation.
-5 + 5 + -1x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -12 + 5
-1x = -12 + 5

Combine like terms: -12 + 5 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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