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

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


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

Reorder the terms:
4x + -2(-7 + x) = 5x + -3
4x + (-7 * -2 + x * -2) = 5x + -3
4x + (14 + -2x) = 5x + -3

Reorder the terms:
14 + 4x + -2x = 5x + -3

Combine like terms: 4x + -2x = 2x
14 + 2x = 5x + -3

Reorder the terms:
14 + 2x = -3 + 5x

Solving
14 + 2x = -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.
14 + 2x + -5x = -3 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = -3 + 0
14 + -3x = -3

Add '-14' to each side of the equation.
14 + -14 + -3x = -3 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -3 + -14
-3x = -3 + -14

Combine like terms: -3 + -14 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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