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

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


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

Reorder the terms:
2(-5 + 2x) = 7(3x)
(-5 * 2 + 2x * 2) = 7(3x)
(-10 + 4x) = 7(3x)

Remove parenthesis around (3x)
-10 + 4x = 7 * 3x

Multiply 7 * 3
-10 + 4x = 21x

Solving
-10 + 4x = 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-10 + 4x + -21x = 21x + -21x

Combine like terms: 4x + -21x = -17x
-10 + -17x = 21x + -21x

Combine like terms: 21x + -21x = 0
-10 + -17x = 0

Add '10' to each side of the equation.
-10 + 10 + -17x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -17x = 0 + 10
-17x = 0 + 10

Combine like terms: 0 + 10 = 10
-17x = 10

Divide each side by '-17'.
x = -0.5882352941

Simplifying
x = -0.5882352941

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