11x-7(2x-1)=5x-3

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Solution for 11x-7(2x-1)=5x-3 equation:


Simplifying
11x + -7(2x + -1) = 5x + -3

Reorder the terms:
11x + -7(-1 + 2x) = 5x + -3
11x + (-1 * -7 + 2x * -7) = 5x + -3
11x + (7 + -14x) = 5x + -3

Reorder the terms:
7 + 11x + -14x = 5x + -3

Combine like terms: 11x + -14x = -3x
7 + -3x = 5x + -3

Reorder the terms:
7 + -3x = -3 + 5x

Solving
7 + -3x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + -3x + -5x = -3 + 5x + -5x

Combine like terms: -3x + -5x = -8x
7 + -8x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -8x = -3 + 0
7 + -8x = -3

Add '-7' to each side of the equation.
7 + -7 + -8x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -3 + -7
-8x = -3 + -7

Combine like terms: -3 + -7 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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