4(2x-5)=7(x+2)

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Solution for 4(2x-5)=7(x+2) equation:


Simplifying
4(2x + -5) = 7(x + 2)

Reorder the terms:
4(-5 + 2x) = 7(x + 2)
(-5 * 4 + 2x * 4) = 7(x + 2)
(-20 + 8x) = 7(x + 2)

Reorder the terms:
-20 + 8x = 7(2 + x)
-20 + 8x = (2 * 7 + x * 7)
-20 + 8x = (14 + 7x)

Solving
-20 + 8x = 14 + 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.
-20 + 8x + -7x = 14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-20 + 1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + 1x = 14 + 0
-20 + 1x = 14

Add '20' to each side of the equation.
-20 + 20 + 1x = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 14 + 20
1x = 14 + 20

Combine like terms: 14 + 20 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34

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