4(2x-5)=10x+7

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Solution for 4(2x-5)=10x+7 equation:


Simplifying
4(2x + -5) = 10x + 7

Reorder the terms:
4(-5 + 2x) = 10x + 7
(-5 * 4 + 2x * 4) = 10x + 7
(-20 + 8x) = 10x + 7

Reorder the terms:
-20 + 8x = 7 + 10x

Solving
-20 + 8x = 7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 8x + -10x = 7 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-20 + -2x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + -2x = 7 + 0
-20 + -2x = 7

Add '20' to each side of the equation.
-20 + 20 + -2x = 7 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 7 + 20
-2x = 7 + 20

Combine like terms: 7 + 20 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5

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