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

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


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

Reorder the terms:
2(-5 + 4x) + 7 = 7x + -5
(-5 * 2 + 4x * 2) + 7 = 7x + -5
(-10 + 8x) + 7 = 7x + -5

Reorder the terms:
-10 + 7 + 8x = 7x + -5

Combine like terms: -10 + 7 = -3
-3 + 8x = 7x + -5

Reorder the terms:
-3 + 8x = -5 + 7x

Solving
-3 + 8x = -5 + 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.
-3 + 8x + -7x = -5 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-3 + 1x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + 1x = -5 + 0
-3 + 1x = -5

Add '3' to each side of the equation.
-3 + 3 + 1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -5 + 3
1x = -5 + 3

Combine like terms: -5 + 3 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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