5(2x-1)-3(4x-7)=0

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Solution for 5(2x-1)-3(4x-7)=0 equation:


Simplifying
5(2x + -1) + -3(4x + -7) = 0

Reorder the terms:
5(-1 + 2x) + -3(4x + -7) = 0
(-1 * 5 + 2x * 5) + -3(4x + -7) = 0
(-5 + 10x) + -3(4x + -7) = 0

Reorder the terms:
-5 + 10x + -3(-7 + 4x) = 0
-5 + 10x + (-7 * -3 + 4x * -3) = 0
-5 + 10x + (21 + -12x) = 0

Reorder the terms:
-5 + 21 + 10x + -12x = 0

Combine like terms: -5 + 21 = 16
16 + 10x + -12x = 0

Combine like terms: 10x + -12x = -2x
16 + -2x = 0

Solving
16 + -2x = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -2x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 0 + -16
-2x = 0 + -16

Combine like terms: 0 + -16 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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