4*(x-5)=3*(x+1)-15

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Solution for 4*(x-5)=3*(x+1)-15 equation:


Simplifying
4(x + -5) = 3(x + 1) + -15

Reorder the terms:
4(-5 + x) = 3(x + 1) + -15
(-5 * 4 + x * 4) = 3(x + 1) + -15
(-20 + 4x) = 3(x + 1) + -15

Reorder the terms:
-20 + 4x = 3(1 + x) + -15
-20 + 4x = (1 * 3 + x * 3) + -15
-20 + 4x = (3 + 3x) + -15

Reorder the terms:
-20 + 4x = 3 + -15 + 3x

Combine like terms: 3 + -15 = -12
-20 + 4x = -12 + 3x

Solving
-20 + 4x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 4x + -3x = -12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-20 + 1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 1x = -12 + 0
-20 + 1x = -12

Add '20' to each side of the equation.
-20 + 20 + 1x = -12 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -12 + 20
1x = -12 + 20

Combine like terms: -12 + 20 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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