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

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


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

Reorder the terms:
3(-5 + 2x) = 2(x + 7) + -4
(-5 * 3 + 2x * 3) = 2(x + 7) + -4
(-15 + 6x) = 2(x + 7) + -4

Reorder the terms:
-15 + 6x = 2(7 + x) + -4
-15 + 6x = (7 * 2 + x * 2) + -4
-15 + 6x = (14 + 2x) + -4

Reorder the terms:
-15 + 6x = 14 + -4 + 2x

Combine like terms: 14 + -4 = 10
-15 + 6x = 10 + 2x

Solving
-15 + 6x = 10 + 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.
-15 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-15 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 4x = 10 + 0
-15 + 4x = 10

Add '15' to each side of the equation.
-15 + 15 + 4x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 10 + 15
4x = 10 + 15

Combine like terms: 10 + 15 = 25
4x = 25

Divide each side by '4'.
x = 6.25

Simplifying
x = 6.25

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