3(x-2)-7=-4(x-5)

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Solution for 3(x-2)-7=-4(x-5) equation:


Simplifying
3(x + -2) + -7 = -4(x + -5)

Reorder the terms:
3(-2 + x) + -7 = -4(x + -5)
(-2 * 3 + x * 3) + -7 = -4(x + -5)
(-6 + 3x) + -7 = -4(x + -5)

Reorder the terms:
-6 + -7 + 3x = -4(x + -5)

Combine like terms: -6 + -7 = -13
-13 + 3x = -4(x + -5)

Reorder the terms:
-13 + 3x = -4(-5 + x)
-13 + 3x = (-5 * -4 + x * -4)
-13 + 3x = (20 + -4x)

Solving
-13 + 3x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-13 + 3x + 4x = 20 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-13 + 7x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 7x = 20 + 0
-13 + 7x = 20

Add '13' to each side of the equation.
-13 + 13 + 7x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 20 + 13
7x = 20 + 13

Combine like terms: 20 + 13 = 33
7x = 33

Divide each side by '7'.
x = 4.714285714

Simplifying
x = 4.714285714

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