4(2x-5)+7=-4x+23

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Solution for 4(2x-5)+7=-4x+23 equation:


Simplifying
4(2x + -5) + 7 = -4x + 23

Reorder the terms:
4(-5 + 2x) + 7 = -4x + 23
(-5 * 4 + 2x * 4) + 7 = -4x + 23
(-20 + 8x) + 7 = -4x + 23

Reorder the terms:
-20 + 7 + 8x = -4x + 23

Combine like terms: -20 + 7 = -13
-13 + 8x = -4x + 23

Reorder the terms:
-13 + 8x = 23 + -4x

Solving
-13 + 8x = 23 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-13 + 8x + 4x = 23 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-13 + 12x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 12x = 23 + 0
-13 + 12x = 23

Add '13' to each side of the equation.
-13 + 13 + 12x = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 12x = 23 + 13
12x = 23 + 13

Combine like terms: 23 + 13 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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