4(x-3)+5(x-3)=8x+10

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Solution for 4(x-3)+5(x-3)=8x+10 equation: 


Simplifying
4(x + -3) + 5(x + -3) = 8x + 10

Reorder the terms:
4(-3 + x) + 5(x + -3) = 8x + 10
(-3 * 4 + x * 4) + 5(x + -3) = 8x + 10
(-12 + 4x) + 5(x + -3) = 8x + 10

Reorder the terms:
-12 + 4x + 5(-3 + x) = 8x + 10
-12 + 4x + (-3 * 5 + x * 5) = 8x + 10
-12 + 4x + (-15 + 5x) = 8x + 10

Reorder the terms:
-12 + -15 + 4x + 5x = 8x + 10

Combine like terms: -12 + -15 = -27
-27 + 4x + 5x = 8x + 10

Combine like terms: 4x + 5x = 9x
-27 + 9x = 8x + 10

Reorder the terms:
-27 + 9x = 10 + 8x

Solving
-27 + 9x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + 9x + -8x = 10 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-27 + 1x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + 1x = 10 + 0
-27 + 1x = 10

Add '27' to each side of the equation.
-27 + 27 + 1x = 10 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = 10 + 27
1x = 10 + 27

Combine like terms: 10 + 27 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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