7(2x-3)=3(4x-10)

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Solution for 7(2x-3)=3(4x-10) equation:


Simplifying
7(2x + -3) = 3(4x + -10)

Reorder the terms:
7(-3 + 2x) = 3(4x + -10)
(-3 * 7 + 2x * 7) = 3(4x + -10)
(-21 + 14x) = 3(4x + -10)

Reorder the terms:
-21 + 14x = 3(-10 + 4x)
-21 + 14x = (-10 * 3 + 4x * 3)
-21 + 14x = (-30 + 12x)

Solving
-21 + 14x = -30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-21 + 14x + -12x = -30 + 12x + -12x

Combine like terms: 14x + -12x = 2x
-21 + 2x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + 2x = -30 + 0
-21 + 2x = -30

Add '21' to each side of the equation.
-21 + 21 + 2x = -30 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -30 + 21
2x = -30 + 21

Combine like terms: -30 + 21 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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