3(x-5)-14=2(x-7)+5

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Solution for 3(x-5)-14=2(x-7)+5 equation:


Simplifying
3(x + -5) + -14 = 2(x + -7) + 5

Reorder the terms:
3(-5 + x) + -14 = 2(x + -7) + 5
(-5 * 3 + x * 3) + -14 = 2(x + -7) + 5
(-15 + 3x) + -14 = 2(x + -7) + 5

Reorder the terms:
-15 + -14 + 3x = 2(x + -7) + 5

Combine like terms: -15 + -14 = -29
-29 + 3x = 2(x + -7) + 5

Reorder the terms:
-29 + 3x = 2(-7 + x) + 5
-29 + 3x = (-7 * 2 + x * 2) + 5
-29 + 3x = (-14 + 2x) + 5

Reorder the terms:
-29 + 3x = -14 + 5 + 2x

Combine like terms: -14 + 5 = -9
-29 + 3x = -9 + 2x

Solving
-29 + 3x = -9 + 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.
-29 + 3x + -2x = -9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-29 + 1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + 1x = -9 + 0
-29 + 1x = -9

Add '29' to each side of the equation.
-29 + 29 + 1x = -9 + 29

Combine like terms: -29 + 29 = 0
0 + 1x = -9 + 29
1x = -9 + 29

Combine like terms: -9 + 29 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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