mplifying
2x + 5 + -3(2x + -7) = 2(3x + -5) + -4
Reorder the terms:
2x + 5 + -3(-7 + 2x) = 2(3x + -5) + -4
2x + 5 + (-7 * -3 + 2x * -3) = 2(3x + -5) + -4
2x + 5 + (21 + -6x) = 2(3x + -5) + -4
Reorder the terms:
5 + 21 + 2x + -6x = 2(3x + -5) + -4
Combine like terms: 5 + 21 = 26
26 + 2x + -6x = 2(3x + -5) + -4
Combine like terms: 2x + -6x = -4x
26 + -4x = 2(3x + -5) + -4
Reorder the terms:
26 + -4x = 2(-5 + 3x) + -4
26 + -4x = (-5 * 2 + 3x * 2) + -4
26 + -4x = (-10 + 6x) + -4
Reorder the terms:
26 + -4x = -10 + -4 + 6x
Combine like terms: -10 + -4 = -14
26 + -4x = -14 + 6x
Solving
26 + -4x = -14 + 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.
26 + -4x + -6x = -14 + 6x + -6x
Combine like terms: -4x + -6x = -10x
26 + -10x = -14 + 6x + -6x
Combine like terms: 6x + -6x = 0
26 + -10x = -14 + 0
26 + -10x = -14
Add '-26' to each side of the equation.
26 + -26 + -10x = -14 + -26
Combine like terms: 26 + -26 = 0
0 + -10x = -14 + -26
-10x = -14 + -26
Combine like terms: -14 + -26 = -40
-10x = -40
Divide each side by '-10'.
x = 4
Simplifying
x = 4
