4(x-5)=7-5(3-2*x)

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Solution for 4(x-5)=7-5(3-2*x) equation:


Simplifying
4(x + -5) = 7 + -5(3 + -2x)

Reorder the terms:
4(-5 + x) = 7 + -5(3 + -2x)
(-5 * 4 + x * 4) = 7 + -5(3 + -2x)
(-20 + 4x) = 7 + -5(3 + -2x)
-20 + 4x = 7 + (3 * -5 + -2x * -5)
-20 + 4x = 7 + (-15 + 10x)

Combine like terms: 7 + -15 = -8
-20 + 4x = -8 + 10x

Solving
-20 + 4x = -8 + 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 + 4x + -10x = -8 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-20 + -6x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + -6x = -8 + 0
-20 + -6x = -8

Add '20' to each side of the equation.
-20 + 20 + -6x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + -6x = -8 + 20
-6x = -8 + 20

Combine like terms: -8 + 20 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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