12-4(x+5)=13-5(x+4)

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Solution for 12-4(x+5)=13-5(x+4) equation:


Simplifying
12 + -4(x + 5) = 13 + -5(x + 4)

Reorder the terms:
12 + -4(5 + x) = 13 + -5(x + 4)
12 + (5 * -4 + x * -4) = 13 + -5(x + 4)
12 + (-20 + -4x) = 13 + -5(x + 4)

Combine like terms: 12 + -20 = -8
-8 + -4x = 13 + -5(x + 4)

Reorder the terms:
-8 + -4x = 13 + -5(4 + x)
-8 + -4x = 13 + (4 * -5 + x * -5)
-8 + -4x = 13 + (-20 + -5x)

Combine like terms: 13 + -20 = -7
-8 + -4x = -7 + -5x

Solving
-8 + -4x = -7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + -4x + 5x = -7 + -5x + 5x

Combine like terms: -4x + 5x = 1x
-8 + 1x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 1x = -7 + 0
-8 + 1x = -7

Add '8' to each side of the equation.
-8 + 8 + 1x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -7 + 8
1x = -7 + 8

Combine like terms: -7 + 8 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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