4(6x-4)=7x-(2x-3)

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Solution for 4(6x-4)=7x-(2x-3) equation:


Simplifying
4(6x + -4) = 7x + -1(2x + -3)

Reorder the terms:
4(-4 + 6x) = 7x + -1(2x + -3)
(-4 * 4 + 6x * 4) = 7x + -1(2x + -3)
(-16 + 24x) = 7x + -1(2x + -3)

Reorder the terms:
-16 + 24x = 7x + -1(-3 + 2x)
-16 + 24x = 7x + (-3 * -1 + 2x * -1)
-16 + 24x = 7x + (3 + -2x)

Reorder the terms:
-16 + 24x = 3 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-16 + 24x = 3 + 5x

Solving
-16 + 24x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 24x + -5x = 3 + 5x + -5x

Combine like terms: 24x + -5x = 19x
-16 + 19x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 19x = 3 + 0
-16 + 19x = 3

Add '16' to each side of the equation.
-16 + 16 + 19x = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 19x = 3 + 16
19x = 3 + 16

Combine like terms: 3 + 16 = 19
19x = 19

Divide each side by '19'.
x = 1

Simplifying
x = 1

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