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

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


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

Reorder the terms:
2 + -3(-4 + x) = 5x + -7
2 + (-4 * -3 + x * -3) = 5x + -7
2 + (12 + -3x) = 5x + -7

Combine like terms: 2 + 12 = 14
14 + -3x = 5x + -7

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

Solving
14 + -3x = -7 + 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 + -3x + -5x = -7 + 5x + -5x

Combine like terms: -3x + -5x = -8x
14 + -8x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -8x = -7 + 0
14 + -8x = -7

Add '-14' to each side of the equation.
14 + -14 + -8x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -7 + -14
-8x = -7 + -14

Combine like terms: -7 + -14 = -21
-8x = -21

Divide each side by '-8'.
x = 2.625

Simplifying
x = 2.625

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