32-7(x-5)=3(x-1)

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Solution for 32-7(x-5)=3(x-1) equation:


Simplifying
32 + -7(x + -5) = 3(x + -1)

Reorder the terms:
32 + -7(-5 + x) = 3(x + -1)
32 + (-5 * -7 + x * -7) = 3(x + -1)
32 + (35 + -7x) = 3(x + -1)

Combine like terms: 32 + 35 = 67
67 + -7x = 3(x + -1)

Reorder the terms:
67 + -7x = 3(-1 + x)
67 + -7x = (-1 * 3 + x * 3)
67 + -7x = (-3 + 3x)

Solving
67 + -7x = -3 + 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.
67 + -7x + -3x = -3 + 3x + -3x

Combine like terms: -7x + -3x = -10x
67 + -10x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
67 + -10x = -3 + 0
67 + -10x = -3

Add '-67' to each side of the equation.
67 + -67 + -10x = -3 + -67

Combine like terms: 67 + -67 = 0
0 + -10x = -3 + -67
-10x = -3 + -67

Combine like terms: -3 + -67 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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