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

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


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

Reorder the terms:
4(3 + 2x) + -5x = 7(x + -2) + 5
(3 * 4 + 2x * 4) + -5x = 7(x + -2) + 5
(12 + 8x) + -5x = 7(x + -2) + 5

Combine like terms: 8x + -5x = 3x
12 + 3x = 7(x + -2) + 5

Reorder the terms:
12 + 3x = 7(-2 + x) + 5
12 + 3x = (-2 * 7 + x * 7) + 5
12 + 3x = (-14 + 7x) + 5

Reorder the terms:
12 + 3x = -14 + 5 + 7x

Combine like terms: -14 + 5 = -9
12 + 3x = -9 + 7x

Solving
12 + 3x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 3x + -7x = -9 + 7x + -7x

Combine like terms: 3x + -7x = -4x
12 + -4x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -4x = -9 + 0
12 + -4x = -9

Add '-12' to each side of the equation.
12 + -12 + -4x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -9 + -12
-4x = -9 + -12

Combine like terms: -9 + -12 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25

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