6-4(2x+5)=7x-2x-3

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Solution for 6-4(2x+5)=7x-2x-3 equation:


Simplifying
6 + -4(2x + 5) = 7x + -2x + -3

Reorder the terms:
6 + -4(5 + 2x) = 7x + -2x + -3
6 + (5 * -4 + 2x * -4) = 7x + -2x + -3
6 + (-20 + -8x) = 7x + -2x + -3

Combine like terms: 6 + -20 = -14
-14 + -8x = 7x + -2x + -3

Reorder the terms:
-14 + -8x = -3 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-14 + -8x = -3 + 5x

Solving
-14 + -8x = -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 + -8x + -5x = -3 + 5x + -5x

Combine like terms: -8x + -5x = -13x
-14 + -13x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -13x = -3 + 0
-14 + -13x = -3

Add '14' to each side of the equation.
-14 + 14 + -13x = -3 + 14

Combine like terms: -14 + 14 = 0
0 + -13x = -3 + 14
-13x = -3 + 14

Combine like terms: -3 + 14 = 11
-13x = 11

Divide each side by '-13'.
x = -0.8461538462

Simplifying
x = -0.8461538462

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