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

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


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

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

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

Combine like terms: -10 + -4 = -14
-14 + 2x = 3(x + -7)

Reorder the terms:
-14 + 2x = 3(-7 + x)
-14 + 2x = (-7 * 3 + x * 3)
-14 + 2x = (-21 + 3x)

Solving
-14 + 2x = -21 + 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.
-14 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-14 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + -1x = -21 + 0
-14 + -1x = -21

Add '14' to each side of the equation.
-14 + 14 + -1x = -21 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -21 + 14
-1x = -21 + 14

Combine like terms: -21 + 14 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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