5=3(x-4)-(x-7)

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Solution for 5=3(x-4)-(x-7) equation: 


Simplifying
5 = 3(x + -4) + -1(x + -7)

Reorder the terms:
5 = 3(-4 + x) + -1(x + -7)
5 = (-4 * 3 + x * 3) + -1(x + -7)
5 = (-12 + 3x) + -1(x + -7)

Reorder the terms:
5 = -12 + 3x + -1(-7 + x)
5 = -12 + 3x + (-7 * -1 + x * -1)
5 = -12 + 3x + (7 + -1x)

Reorder the terms:
5 = -12 + 7 + 3x + -1x

Combine like terms: -12 + 7 = -5
5 = -5 + 3x + -1x

Combine like terms: 3x + -1x = 2x
5 = -5 + 2x

Solving
5 = -5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
5 + -2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -2x = -5 + 0
5 + -2x = -5

Add '-5' to each side of the equation.
5 + -5 + -2x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -5 + -5
-2x = -5 + -5

Combine like terms: -5 + -5 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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