2x+43=5(2x+3)-4

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Solution for 2x+43=5(2x+3)-4 equation:


Simplifying
2x + 43 = 5(2x + 3) + -4

Reorder the terms:
43 + 2x = 5(2x + 3) + -4

Reorder the terms:
43 + 2x = 5(3 + 2x) + -4
43 + 2x = (3 * 5 + 2x * 5) + -4
43 + 2x = (15 + 10x) + -4

Reorder the terms:
43 + 2x = 15 + -4 + 10x

Combine like terms: 15 + -4 = 11
43 + 2x = 11 + 10x

Solving
43 + 2x = 11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
43 + 2x + -10x = 11 + 10x + -10x

Combine like terms: 2x + -10x = -8x
43 + -8x = 11 + 10x + -10x

Combine like terms: 10x + -10x = 0
43 + -8x = 11 + 0
43 + -8x = 11

Add '-43' to each side of the equation.
43 + -43 + -8x = 11 + -43

Combine like terms: 43 + -43 = 0
0 + -8x = 11 + -43
-8x = 11 + -43

Combine like terms: 11 + -43 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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