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

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


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

Reorder the terms:
2(-7 + 3x) + 7x = 4x + -11 + 7x
(-7 * 2 + 3x * 2) + 7x = 4x + -11 + 7x
(-14 + 6x) + 7x = 4x + -11 + 7x

Combine like terms: 6x + 7x = 13x
-14 + 13x = 4x + -11 + 7x

Reorder the terms:
-14 + 13x = -11 + 4x + 7x

Combine like terms: 4x + 7x = 11x
-14 + 13x = -11 + 11x

Solving
-14 + 13x = -11 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
-14 + 13x + -11x = -11 + 11x + -11x

Combine like terms: 13x + -11x = 2x
-14 + 2x = -11 + 11x + -11x

Combine like terms: 11x + -11x = 0
-14 + 2x = -11 + 0
-14 + 2x = -11

Add '14' to each side of the equation.
-14 + 14 + 2x = -11 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -11 + 14
2x = -11 + 14

Combine like terms: -11 + 14 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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