4(x-8)=3(x+7)

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Solution for 4(x-8)=3(x+7) equation:


Simplifying
4(x + -8) = 3(x + 7)

Reorder the terms:
4(-8 + x) = 3(x + 7)
(-8 * 4 + x * 4) = 3(x + 7)
(-32 + 4x) = 3(x + 7)

Reorder the terms:
-32 + 4x = 3(7 + x)
-32 + 4x = (7 * 3 + x * 3)
-32 + 4x = (21 + 3x)

Solving
-32 + 4x = 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.
-32 + 4x + -3x = 21 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-32 + 1x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 1x = 21 + 0
-32 + 1x = 21

Add '32' to each side of the equation.
-32 + 32 + 1x = 21 + 32

Combine like terms: -32 + 32 = 0
0 + 1x = 21 + 32
1x = 21 + 32

Combine like terms: 21 + 32 = 53
1x = 53

Divide each side by '1'.
x = 53

Simplifying
x = 53

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