8(x-4)=3x-7

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


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

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

Reorder the terms:
-32 + 8x = -7 + 3x

Solving
-32 + 8x = -7 + 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 + 8x + -3x = -7 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-32 + 5x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 5x = -7 + 0
-32 + 5x = -7

Add '32' to each side of the equation.
-32 + 32 + 5x = -7 + 32

Combine like terms: -32 + 32 = 0
0 + 5x = -7 + 32
5x = -7 + 32

Combine like terms: -7 + 32 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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