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

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Solution for 3(2x-5)-4(x+1)=7 equation: 


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

Reorder the terms:
3(-5 + 2x) + -4(x + 1) = 7
(-5 * 3 + 2x * 3) + -4(x + 1) = 7
(-15 + 6x) + -4(x + 1) = 7

Reorder the terms:
-15 + 6x + -4(1 + x) = 7
-15 + 6x + (1 * -4 + x * -4) = 7
-15 + 6x + (-4 + -4x) = 7

Reorder the terms:
-15 + -4 + 6x + -4x = 7

Combine like terms: -15 + -4 = -19
-19 + 6x + -4x = 7

Combine like terms: 6x + -4x = 2x
-19 + 2x = 7

Solving
-19 + 2x = 7

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 2x = 7 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 7 + 19
2x = 7 + 19

Combine like terms: 7 + 19 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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