5(x-5)=4(x-1)+3x

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Solution for 5(x-5)=4(x-1)+3x equation:


Simplifying
5(x + -5) = 4(x + -1) + 3x

Reorder the terms:
5(-5 + x) = 4(x + -1) + 3x
(-5 * 5 + x * 5) = 4(x + -1) + 3x
(-25 + 5x) = 4(x + -1) + 3x

Reorder the terms:
-25 + 5x = 4(-1 + x) + 3x
-25 + 5x = (-1 * 4 + x * 4) + 3x
-25 + 5x = (-4 + 4x) + 3x

Combine like terms: 4x + 3x = 7x
-25 + 5x = -4 + 7x

Solving
-25 + 5x = -4 + 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.
-25 + 5x + -7x = -4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-25 + -2x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-25 + -2x = -4 + 0
-25 + -2x = -4

Add '25' to each side of the equation.
-25 + 25 + -2x = -4 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = -4 + 25
-2x = -4 + 25

Combine like terms: -4 + 25 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5

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