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

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


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

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

Reorder the terms:
14 + 2x = 3(10 + -2x)
14 + 2x = (10 * 3 + -2x * 3)
14 + 2x = (30 + -6x)

Solving
14 + 2x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14 + 2x + 6x = 30 + -6x + 6x

Combine like terms: 2x + 6x = 8x
14 + 8x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + 8x = 30 + 0
14 + 8x = 30

Add '-14' to each side of the equation.
14 + -14 + 8x = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 30 + -14
8x = 30 + -14

Combine like terms: 30 + -14 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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