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

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


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

Reorder the terms:
5(5 + 2x) = 4x + -7
(5 * 5 + 2x * 5) = 4x + -7
(25 + 10x) = 4x + -7

Reorder the terms:
25 + 10x = -7 + 4x

Solving
25 + 10x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + 10x + -4x = -7 + 4x + -4x

Combine like terms: 10x + -4x = 6x
25 + 6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 6x = -7 + 0
25 + 6x = -7

Add '-25' to each side of the equation.
25 + -25 + 6x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + 6x = -7 + -25
6x = -7 + -25

Combine like terms: -7 + -25 = -32
6x = -32

Divide each side by '6'.
x = -5.333333333

Simplifying
x = -5.333333333

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