5(x-3)+4=4(x-6)+4

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Solution for 5(x-3)+4=4(x-6)+4 equation:


Simplifying
5(x + -3) + 4 = 4(x + -6) + 4

Reorder the terms:
5(-3 + x) + 4 = 4(x + -6) + 4
(-3 * 5 + x * 5) + 4 = 4(x + -6) + 4
(-15 + 5x) + 4 = 4(x + -6) + 4

Reorder the terms:
-15 + 4 + 5x = 4(x + -6) + 4

Combine like terms: -15 + 4 = -11
-11 + 5x = 4(x + -6) + 4

Reorder the terms:
-11 + 5x = 4(-6 + x) + 4
-11 + 5x = (-6 * 4 + x * 4) + 4
-11 + 5x = (-24 + 4x) + 4

Reorder the terms:
-11 + 5x = -24 + 4 + 4x

Combine like terms: -24 + 4 = -20
-11 + 5x = -20 + 4x

Solving
-11 + 5x = -20 + 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.
-11 + 5x + -4x = -20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-11 + 1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + 1x = -20 + 0
-11 + 1x = -20

Add '11' to each side of the equation.
-11 + 11 + 1x = -20 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -20 + 11
1x = -20 + 11

Combine like terms: -20 + 11 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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