3(2x-5)-4(x-2)=11-2(x-5)

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Solution for 3(2x-5)-4(x-2)=11-2(x-5) equation:


Simplifying
3(2x + -5) + -4(x + -2) = 11 + -2(x + -5)

Reorder the terms:
3(-5 + 2x) + -4(x + -2) = 11 + -2(x + -5)
(-5 * 3 + 2x * 3) + -4(x + -2) = 11 + -2(x + -5)
(-15 + 6x) + -4(x + -2) = 11 + -2(x + -5)

Reorder the terms:
-15 + 6x + -4(-2 + x) = 11 + -2(x + -5)
-15 + 6x + (-2 * -4 + x * -4) = 11 + -2(x + -5)
-15 + 6x + (8 + -4x) = 11 + -2(x + -5)

Reorder the terms:
-15 + 8 + 6x + -4x = 11 + -2(x + -5)

Combine like terms: -15 + 8 = -7
-7 + 6x + -4x = 11 + -2(x + -5)

Combine like terms: 6x + -4x = 2x
-7 + 2x = 11 + -2(x + -5)

Reorder the terms:
-7 + 2x = 11 + -2(-5 + x)
-7 + 2x = 11 + (-5 * -2 + x * -2)
-7 + 2x = 11 + (10 + -2x)

Combine like terms: 11 + 10 = 21
-7 + 2x = 21 + -2x

Solving
-7 + 2x = 21 + -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.
-7 + 2x + 2x = 21 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-7 + 4x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 4x = 21 + 0
-7 + 4x = 21

Add '7' to each side of the equation.
-7 + 7 + 4x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 21 + 7
4x = 21 + 7

Combine like terms: 21 + 7 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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