4(x-7)=3x-32

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Solution for 4(x-7)=3x-32 equation:


Simplifying
4(x + -7) = 3x + -32

Reorder the terms:
4(-7 + x) = 3x + -32
(-7 * 4 + x * 4) = 3x + -32
(-28 + 4x) = 3x + -32

Reorder the terms:
-28 + 4x = -32 + 3x

Solving
-28 + 4x = -32 + 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.
-28 + 4x + -3x = -32 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-28 + 1x = -32 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 1x = -32 + 0
-28 + 1x = -32

Add '28' to each side of the equation.
-28 + 28 + 1x = -32 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = -32 + 28
1x = -32 + 28

Combine like terms: -32 + 28 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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