7(2x-3)=10x-2(x-6)

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Solution for 7(2x-3)=10x-2(x-6) equation:


Simplifying
7(2x + -3) = 10x + -2(x + -6)

Reorder the terms:
7(-3 + 2x) = 10x + -2(x + -6)
(-3 * 7 + 2x * 7) = 10x + -2(x + -6)
(-21 + 14x) = 10x + -2(x + -6)

Reorder the terms:
-21 + 14x = 10x + -2(-6 + x)
-21 + 14x = 10x + (-6 * -2 + x * -2)
-21 + 14x = 10x + (12 + -2x)

Reorder the terms:
-21 + 14x = 12 + 10x + -2x

Combine like terms: 10x + -2x = 8x
-21 + 14x = 12 + 8x

Solving
-21 + 14x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + 14x + -8x = 12 + 8x + -8x

Combine like terms: 14x + -8x = 6x
-21 + 6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + 6x = 12 + 0
-21 + 6x = 12

Add '21' to each side of the equation.
-21 + 21 + 6x = 12 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = 12 + 21
6x = 12 + 21

Combine like terms: 12 + 21 = 33
6x = 33

Divide each side by '6'.
x = 5.5

Simplifying
x = 5.5

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