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

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


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

Reorder the terms:
3x + -2(-5 + x) = 7(x + 4)
3x + (-5 * -2 + x * -2) = 7(x + 4)
3x + (10 + -2x) = 7(x + 4)

Reorder the terms:
10 + 3x + -2x = 7(x + 4)

Combine like terms: 3x + -2x = 1x
10 + 1x = 7(x + 4)

Reorder the terms:
10 + 1x = 7(4 + x)
10 + 1x = (4 * 7 + x * 7)
10 + 1x = (28 + 7x)

Solving
10 + 1x = 28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 1x + -7x = 28 + 7x + -7x

Combine like terms: 1x + -7x = -6x
10 + -6x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -6x = 28 + 0
10 + -6x = 28

Add '-10' to each side of the equation.
10 + -10 + -6x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 28 + -10
-6x = 28 + -10

Combine like terms: 28 + -10 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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