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

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


Simplifying
2(3x + -4) = 7 + -1(2x + 5)

Reorder the terms:
2(-4 + 3x) = 7 + -1(2x + 5)
(-4 * 2 + 3x * 2) = 7 + -1(2x + 5)
(-8 + 6x) = 7 + -1(2x + 5)

Reorder the terms:
-8 + 6x = 7 + -1(5 + 2x)
-8 + 6x = 7 + (5 * -1 + 2x * -1)
-8 + 6x = 7 + (-5 + -2x)

Combine like terms: 7 + -5 = 2
-8 + 6x = 2 + -2x

Solving
-8 + 6x = 2 + -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.
-8 + 6x + 2x = 2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-8 + 8x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 8x = 2 + 0
-8 + 8x = 2

Add '8' to each side of the equation.
-8 + 8 + 8x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 2 + 8
8x = 2 + 8

Combine like terms: 2 + 8 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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