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

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


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

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

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

Solving
-14 + 2x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 2x + -5x = 10 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-14 + -3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -3x = 10 + 0
-14 + -3x = 10

Add '14' to each side of the equation.
-14 + 14 + -3x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 10 + 14
-3x = 10 + 14

Combine like terms: 10 + 14 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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