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

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


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

Reorder the terms:
7 + -3(-5 + 4x) = 2x + 5
7 + (-5 * -3 + 4x * -3) = 2x + 5
7 + (15 + -12x) = 2x + 5

Combine like terms: 7 + 15 = 22
22 + -12x = 2x + 5

Reorder the terms:
22 + -12x = 5 + 2x

Solving
22 + -12x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
22 + -12x + -2x = 5 + 2x + -2x

Combine like terms: -12x + -2x = -14x
22 + -14x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -14x = 5 + 0
22 + -14x = 5

Add '-22' to each side of the equation.
22 + -22 + -14x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + -14x = 5 + -22
-14x = 5 + -22

Combine like terms: 5 + -22 = -17
-14x = -17

Divide each side by '-14'.
x = 1.214285714

Simplifying
x = 1.214285714

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