4(3x-7)=2(7x+5)

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


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

Reorder the terms:
4(-7 + 3x) = 2(7x + 5)
(-7 * 4 + 3x * 4) = 2(7x + 5)
(-28 + 12x) = 2(7x + 5)

Reorder the terms:
-28 + 12x = 2(5 + 7x)
-28 + 12x = (5 * 2 + 7x * 2)
-28 + 12x = (10 + 14x)

Solving
-28 + 12x = 10 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-28 + 12x + -14x = 10 + 14x + -14x

Combine like terms: 12x + -14x = -2x
-28 + -2x = 10 + 14x + -14x

Combine like terms: 14x + -14x = 0
-28 + -2x = 10 + 0
-28 + -2x = 10

Add '28' to each side of the equation.
-28 + 28 + -2x = 10 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = 10 + 28
-2x = 10 + 28

Combine like terms: 10 + 28 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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