2(2x-5)=7x+8

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Solution for 2(2x-5)=7x+8 equation:


Simplifying
2(2x + -5) = 7x + 8

Reorder the terms:
2(-5 + 2x) = 7x + 8
(-5 * 2 + 2x * 2) = 7x + 8
(-10 + 4x) = 7x + 8

Reorder the terms:
-10 + 4x = 8 + 7x

Solving
-10 + 4x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 4x + -7x = 8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-10 + -3x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -3x = 8 + 0
-10 + -3x = 8

Add '10' to each side of the equation.
-10 + 10 + -3x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 8 + 10
-3x = 8 + 10

Combine like terms: 8 + 10 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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