5(x-6)=4(x+7)

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Solution for 5(x-6)=4(x+7) equation:


Simplifying
5(x + -6) = 4(x + 7)

Reorder the terms:
5(-6 + x) = 4(x + 7)
(-6 * 5 + x * 5) = 4(x + 7)
(-30 + 5x) = 4(x + 7)

Reorder the terms:
-30 + 5x = 4(7 + x)
-30 + 5x = (7 * 4 + x * 4)
-30 + 5x = (28 + 4x)

Solving
-30 + 5x = 28 + 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.
-30 + 5x + -4x = 28 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-30 + 1x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 1x = 28 + 0
-30 + 1x = 28

Add '30' to each side of the equation.
-30 + 30 + 1x = 28 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = 28 + 30
1x = 28 + 30

Combine like terms: 28 + 30 = 58
1x = 58

Divide each side by '1'.
x = 58

Simplifying
x = 58

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