2(3x-1)+4(x-2)=7x+11

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Solution for 2(3x-1)+4(x-2)=7x+11 equation:


Simplifying
2(3x + -1) + 4(x + -2) = 7x + 11

Reorder the terms:
2(-1 + 3x) + 4(x + -2) = 7x + 11
(-1 * 2 + 3x * 2) + 4(x + -2) = 7x + 11
(-2 + 6x) + 4(x + -2) = 7x + 11

Reorder the terms:
-2 + 6x + 4(-2 + x) = 7x + 11
-2 + 6x + (-2 * 4 + x * 4) = 7x + 11
-2 + 6x + (-8 + 4x) = 7x + 11

Reorder the terms:
-2 + -8 + 6x + 4x = 7x + 11

Combine like terms: -2 + -8 = -10
-10 + 6x + 4x = 7x + 11

Combine like terms: 6x + 4x = 10x
-10 + 10x = 7x + 11

Reorder the terms:
-10 + 10x = 11 + 7x

Solving
-10 + 10x = 11 + 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 + 10x + -7x = 11 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-10 + 3x = 11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + 3x = 11 + 0
-10 + 3x = 11

Add '10' to each side of the equation.
-10 + 10 + 3x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 11 + 10
3x = 11 + 10

Combine like terms: 11 + 10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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