5(x-8)+11=3(x-7)

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Solution for 5(x-8)+11=3(x-7) equation:


Simplifying
5(x + -8) + 11 = 3(x + -7)

Reorder the terms:
5(-8 + x) + 11 = 3(x + -7)
(-8 * 5 + x * 5) + 11 = 3(x + -7)
(-40 + 5x) + 11 = 3(x + -7)

Reorder the terms:
-40 + 11 + 5x = 3(x + -7)

Combine like terms: -40 + 11 = -29
-29 + 5x = 3(x + -7)

Reorder the terms:
-29 + 5x = 3(-7 + x)
-29 + 5x = (-7 * 3 + x * 3)
-29 + 5x = (-21 + 3x)

Solving
-29 + 5x = -21 + 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.
-29 + 5x + -3x = -21 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-29 + 2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + 2x = -21 + 0
-29 + 2x = -21

Add '29' to each side of the equation.
-29 + 29 + 2x = -21 + 29

Combine like terms: -29 + 29 = 0
0 + 2x = -21 + 29
2x = -21 + 29

Combine like terms: -21 + 29 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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