2(2x-3)+5(x+1)=6x-7

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Solution for 2(2x-3)+5(x+1)=6x-7 equation:


Simplifying
2(2x + -3) + 5(x + 1) = 6x + -7

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

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

Reorder the terms:
-6 + 5 + 4x + 5x = 6x + -7

Combine like terms: -6 + 5 = -1
-1 + 4x + 5x = 6x + -7

Combine like terms: 4x + 5x = 9x
-1 + 9x = 6x + -7

Reorder the terms:
-1 + 9x = -7 + 6x

Solving
-1 + 9x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 9x + -6x = -7 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-1 + 3x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 3x = -7 + 0
-1 + 3x = -7

Add '1' to each side of the equation.
-1 + 1 + 3x = -7 + 1

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

Combine like terms: -7 + 1 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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